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Finding the Fourth Proportional to 13,240.50, 18,275.31 and 7,654.74

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Solution

The fourth proportional to 13,240.50, 18,275.31 and 7,654.74 is: 10,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.50 : 18,275.31 = 7,654.74 : x
  2. Step 2: Convert to fraction form
    13,240.50/18,275.31 = 7,654.74/x
  3. Step 3: Cross multiply
    13,240.50x = 18,275.31 × 7,654.74
  4. Step 4: Simplify right side
    13,240.50x = 139,892,746.47
  5. Step 5: Solve for x
    x = 139,892,746.47/13,240.50
  6. Step 6: Final answer
    x = 10,565.52

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