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Finding the Fourth Proportional to 10,408.99, 15,613.11 and 4,565.65

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Solution

The fourth proportional to 10,408.99, 15,613.11 and 4,565.65 is: 6,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.99 : 15,613.11 = 4,565.65 : x
  2. Step 2: Convert to fraction form
    10,408.99/15,613.11 = 4,565.65/x
  3. Step 3: Cross multiply
    10,408.99x = 15,613.11 × 4,565.65
  4. Step 4: Simplify right side
    10,408.99x = 71,283,995.67
  5. Step 5: Solve for x
    x = 71,283,995.67/10,408.99
  6. Step 6: Final answer
    x = 6,848.31

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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.