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Finding the Fourth Proportional to 7,149.12, 9,864 and 4,354.24

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Solution

The fourth proportional to 7,149.12, 9,864 and 4,354.24 is: 6,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.12 : 9,864 = 4,354.24 : x
  2. Step 2: Convert to fraction form
    7,149.12/9,864 = 4,354.24/x
  3. Step 3: Cross multiply
    7,149.12x = 9,864 × 4,354.24
  4. Step 4: Simplify right side
    7,149.12x = 42,950,223.36
  5. Step 5: Solve for x
    x = 42,950,223.36/7,149.12
  6. Step 6: Final answer
    x = 6,007.76

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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.