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Finding the Fourth Proportional to 8,405.60, 11,601.24 and 4,870.76

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Solution

The fourth proportional to 8,405.60, 11,601.24 and 4,870.76 is: 6,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.60 : 11,601.24 = 4,870.76 : x
  2. Step 2: Convert to fraction form
    8,405.60/11,601.24 = 4,870.76/x
  3. Step 3: Cross multiply
    8,405.60x = 11,601.24 × 4,870.76
  4. Step 4: Simplify right side
    8,405.60x = 56,506,855.74
  5. Step 5: Solve for x
    x = 56,506,855.74/8,405.60
  6. Step 6: Final answer
    x = 6,722.52

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Half scale
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Double scale
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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.