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Finding the Fourth Proportional to 9,702.44, 14,553.12 and 3,462.20

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Solution

The fourth proportional to 9,702.44, 14,553.12 and 3,462.20 is: 5,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.44 : 14,553.12 = 3,462.20 : x
  2. Step 2: Convert to fraction form
    9,702.44/14,553.12 = 3,462.20/x
  3. Step 3: Cross multiply
    9,702.44x = 14,553.12 × 3,462.20
  4. Step 4: Simplify right side
    9,702.44x = 50,385,812.06
  5. Step 5: Solve for x
    x = 50,385,812.06/9,702.44
  6. Step 6: Final answer
    x = 5,193.11

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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.