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Finding the Fourth Proportional to 15,140.71, 20,890 and 9,089.40

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Solution

The fourth proportional to 15,140.71, 20,890 and 9,089.40 is: 12,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.71 : 20,890 = 9,089.40 : x
  2. Step 2: Convert to fraction form
    15,140.71/20,890 = 9,089.40/x
  3. Step 3: Cross multiply
    15,140.71x = 20,890 × 9,089.40
  4. Step 4: Simplify right side
    15,140.71x = 189,877,566
  5. Step 5: Solve for x
    x = 189,877,566/15,140.71
  6. Step 6: Final answer
    x = 12,540.86

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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.