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Finding the Fourth Proportional to 31,699.55, 47,549.28 and 9,512.89

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Solution

The fourth proportional to 31,699.55, 47,549.28 and 9,512.89 is: 14,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.55 : 47,549.28 = 9,512.89 : x
  2. Step 2: Convert to fraction form
    31,699.55/47,549.28 = 9,512.89/x
  3. Step 3: Cross multiply
    31,699.55x = 47,549.28 × 9,512.89
  4. Step 4: Simplify right side
    31,699.55x = 452,331,070.22
  5. Step 5: Solve for x
    x = 452,331,070.22/31,699.55
  6. Step 6: Final answer
    x = 14,269.32

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1.5x scale

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.