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Finding the Fourth Proportional to 10,355.57, 15,541.11 and 7,589.28

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Solution

The fourth proportional to 10,355.57, 15,541.11 and 7,589.28 is: 11,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.57 : 15,541.11 = 7,589.28 : x
  2. Step 2: Convert to fraction form
    10,355.57/15,541.11 = 7,589.28/x
  3. Step 3: Cross multiply
    10,355.57x = 15,541.11 × 7,589.28
  4. Step 4: Simplify right side
    10,355.57x = 117,945,835.30
  5. Step 5: Solve for x
    x = 117,945,835.30/10,355.57
  6. Step 6: Final answer
    x = 11,389.61

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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.