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Finding the Fourth Proportional to 7,817.87, 10,788.64 and 4,281.08

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Solution

The fourth proportional to 7,817.87, 10,788.64 and 4,281.08 is: 5,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.87 : 10,788.64 = 4,281.08 : x
  2. Step 2: Convert to fraction form
    7,817.87/10,788.64 = 4,281.08/x
  3. Step 3: Cross multiply
    7,817.87x = 10,788.64 × 4,281.08
  4. Step 4: Simplify right side
    7,817.87x = 46,186,966.29
  5. Step 5: Solve for x
    x = 46,186,966.29/7,817.87
  6. Step 6: Final answer
    x = 5,907.87

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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.