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Finding the Fourth Proportional to 9,715.52, 14,572 and 3,140.96

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Solution

The fourth proportional to 9,715.52, 14,572 and 3,140.96 is: 4,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.52 : 14,572 = 3,140.96 : x
  2. Step 2: Convert to fraction form
    9,715.52/14,572 = 3,140.96/x
  3. Step 3: Cross multiply
    9,715.52x = 14,572 × 3,140.96
  4. Step 4: Simplify right side
    9,715.52x = 45,770,069.12
  5. Step 5: Solve for x
    x = 45,770,069.12/9,715.52
  6. Step 6: Final answer
    x = 4,711.03

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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.