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Finding the Fourth Proportional to 10,438.86, 14,405.86 and 6,658.68

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Solution

The fourth proportional to 10,438.86, 14,405.86 and 6,658.68 is: 9,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.86 : 14,405.86 = 6,658.68 : x
  2. Step 2: Convert to fraction form
    10,438.86/14,405.86 = 6,658.68/x
  3. Step 3: Cross multiply
    10,438.86x = 14,405.86 × 6,658.68
  4. Step 4: Simplify right side
    10,438.86x = 95,924,011.86
  5. Step 5: Solve for x
    x = 95,924,011.86/10,438.86
  6. Step 6: Final answer
    x = 9,189.13

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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.