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Finding the Fourth Proportional to 40,407.60, 60,605.64 and 12,702

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Solution

The fourth proportional to 40,407.60, 60,605.64 and 12,702 is: 19,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407.60 : 60,605.64 = 12,702 : x
  2. Step 2: Convert to fraction form
    40,407.60/60,605.64 = 12,702/x
  3. Step 3: Cross multiply
    40,407.60x = 60,605.64 × 12,702
  4. Step 4: Simplify right side
    40,407.60x = 769,812,839.28
  5. Step 5: Solve for x
    x = 769,812,839.28/40,407.60
  6. Step 6: Final answer
    x = 19,051.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.