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Finding the Fourth Proportional to 10,398.88, 14,357.82 and 6,421.24

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Solution

The fourth proportional to 10,398.88, 14,357.82 and 6,421.24 is: 8,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.88 : 14,357.82 = 6,421.24 : x
  2. Step 2: Convert to fraction form
    10,398.88/14,357.82 = 6,421.24/x
  3. Step 3: Cross multiply
    10,398.88x = 14,357.82 × 6,421.24
  4. Step 4: Simplify right side
    10,398.88x = 92,195,008.10
  5. Step 5: Solve for x
    x = 92,195,008.10/10,398.88
  6. Step 6: Final answer
    x = 8,865.86

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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.