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Finding the Fourth Proportional to 26,691, 40,035.56 and 12,657.74

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Solution

The fourth proportional to 26,691, 40,035.56 and 12,657.74 is: 18,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691 : 40,035.56 = 12,657.74 : x
  2. Step 2: Convert to fraction form
    26,691/40,035.56 = 12,657.74/x
  3. Step 3: Cross multiply
    26,691x = 40,035.56 × 12,657.74
  4. Step 4: Simplify right side
    26,691x = 506,759,709.23
  5. Step 5: Solve for x
    x = 506,759,709.23/26,691
  6. Step 6: Final answer
    x = 18,986.16

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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.