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Finding the Fourth Proportional to 10,425.58, 14,385.99 and 8,306.49

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Solution

The fourth proportional to 10,425.58, 14,385.99 and 8,306.49 is: 11,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.58 : 14,385.99 = 8,306.49 : x
  2. Step 2: Convert to fraction form
    10,425.58/14,385.99 = 8,306.49/x
  3. Step 3: Cross multiply
    10,425.58x = 14,385.99 × 8,306.49
  4. Step 4: Simplify right side
    10,425.58x = 119,497,082.08
  5. Step 5: Solve for x
    x = 119,497,082.08/10,425.58
  6. Step 6: Final answer
    x = 11,461.91

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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.