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Finding the Fourth Proportional to 10,449.65, 15,679.85 and 6,942.08

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Solution

The fourth proportional to 10,449.65, 15,679.85 and 6,942.08 is: 10,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.65 : 15,679.85 = 6,942.08 : x
  2. Step 2: Convert to fraction form
    10,449.65/15,679.85 = 6,942.08/x
  3. Step 3: Cross multiply
    10,449.65x = 15,679.85 × 6,942.08
  4. Step 4: Simplify right side
    10,449.65x = 108,850,829.64
  5. Step 5: Solve for x
    x = 108,850,829.64/10,449.65
  6. Step 6: Final answer
    x = 10,416.69

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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.