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Finding the Fourth Proportional to 7,817.64, 10,788.26 and 4,280.76

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Solution

The fourth proportional to 7,817.64, 10,788.26 and 4,280.76 is: 5,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.64 : 10,788.26 = 4,280.76 : x
  2. Step 2: Convert to fraction form
    7,817.64/10,788.26 = 4,280.76/x
  3. Step 3: Cross multiply
    7,817.64x = 10,788.26 × 4,280.76
  4. Step 4: Simplify right side
    7,817.64x = 46,181,951.88
  5. Step 5: Solve for x
    x = 46,181,951.88/7,817.64
  6. Step 6: Final answer
    x = 5,907.40

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Half scale
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Double scale
Find fourth proportional to 7,818.64, 10,789.64 and 4,281.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.