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Finding the Fourth Proportional to 10,404.68, 14,358.48 and 6,424.88

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Solution

The fourth proportional to 10,404.68, 14,358.48 and 6,424.88 is: 8,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.68 : 14,358.48 = 6,424.88 : x
  2. Step 2: Convert to fraction form
    10,404.68/14,358.48 = 6,424.88/x
  3. Step 3: Cross multiply
    10,404.68x = 14,358.48 × 6,424.88
  4. Step 4: Simplify right side
    10,404.68x = 92,251,510.98
  5. Step 5: Solve for x
    x = 92,251,510.98/10,404.68
  6. Step 6: Final answer
    x = 8,866.35

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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.