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Finding the Fourth Proportional to 10,590.90, 15,811.14 and 9,424.50

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Solution

The fourth proportional to 10,590.90, 15,811.14 and 9,424.50 is: 14,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.90 : 15,811.14 = 9,424.50 : x
  2. Step 2: Convert to fraction form
    10,590.90/15,811.14 = 9,424.50/x
  3. Step 3: Cross multiply
    10,590.90x = 15,811.14 × 9,424.50
  4. Step 4: Simplify right side
    10,590.90x = 149,012,088.93
  5. Step 5: Solve for x
    x = 149,012,088.93/10,590.90
  6. Step 6: Final answer
    x = 14,069.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.