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Finding the Fourth Proportional to 7,434.64, 11,142.24 and 7,104.16

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Solution

The fourth proportional to 7,434.64, 11,142.24 and 7,104.16 is: 10,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.64 : 11,142.24 = 7,104.16 : x
  2. Step 2: Convert to fraction form
    7,434.64/11,142.24 = 7,104.16/x
  3. Step 3: Cross multiply
    7,434.64x = 11,142.24 × 7,104.16
  4. Step 4: Simplify right side
    7,434.64x = 79,156,255.72
  5. Step 5: Solve for x
    x = 79,156,255.72/7,434.64
  6. Step 6: Final answer
    x = 10,646.95

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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.