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Finding the Fourth Proportional to 9,213.52, 12,715 and 5,235.30

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Solution

The fourth proportional to 9,213.52, 12,715 and 5,235.30 is: 7,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.52 : 12,715 = 5,235.30 : x
  2. Step 2: Convert to fraction form
    9,213.52/12,715 = 5,235.30/x
  3. Step 3: Cross multiply
    9,213.52x = 12,715 × 5,235.30
  4. Step 4: Simplify right side
    9,213.52x = 66,566,839.50
  5. Step 5: Solve for x
    x = 66,566,839.50/9,213.52
  6. Step 6: Final answer
    x = 7,224.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.