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Finding the Fourth Proportional to 10,583.79, 15,885.20 and 5,657.64

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Solution

The fourth proportional to 10,583.79, 15,885.20 and 5,657.64 is: 8,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.79 : 15,885.20 = 5,657.64 : x
  2. Step 2: Convert to fraction form
    10,583.79/15,885.20 = 5,657.64/x
  3. Step 3: Cross multiply
    10,583.79x = 15,885.20 × 5,657.64
  4. Step 4: Simplify right side
    10,583.79x = 89,872,757.07
  5. Step 5: Solve for x
    x = 89,872,757.07/10,583.79
  6. Step 6: Final answer
    x = 8,491.55

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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.