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Finding the Fourth Proportional to 9,372.42, 12,911.98 and 6,534.64

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Solution

The fourth proportional to 9,372.42, 12,911.98 and 6,534.64 is: 9,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.42 : 12,911.98 = 6,534.64 : x
  2. Step 2: Convert to fraction form
    9,372.42/12,911.98 = 6,534.64/x
  3. Step 3: Cross multiply
    9,372.42x = 12,911.98 × 6,534.64
  4. Step 4: Simplify right side
    9,372.42x = 84,375,140.99
  5. Step 5: Solve for x
    x = 84,375,140.99/9,372.42
  6. Step 6: Final answer
    x = 9,002.49

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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.