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Finding the Fourth Proportional to 10,437.90, 15,642.20 and 5,760.09

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Solution

The fourth proportional to 10,437.90, 15,642.20 and 5,760.09 is: 8,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.90 : 15,642.20 = 5,760.09 : x
  2. Step 2: Convert to fraction form
    10,437.90/15,642.20 = 5,760.09/x
  3. Step 3: Cross multiply
    10,437.90x = 15,642.20 × 5,760.09
  4. Step 4: Simplify right side
    10,437.90x = 90,100,451.00
  5. Step 5: Solve for x
    x = 90,100,451.00/10,437.90
  6. Step 6: Final answer
    x = 8,632.05

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