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Finding the Fourth Proportional to 8,456.90, 11,658.11 and 5,931.36

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Solution

The fourth proportional to 8,456.90, 11,658.11 and 5,931.36 is: 8,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.90 : 11,658.11 = 5,931.36 : x
  2. Step 2: Convert to fraction form
    8,456.90/11,658.11 = 5,931.36/x
  3. Step 3: Cross multiply
    8,456.90x = 11,658.11 × 5,931.36
  4. Step 4: Simplify right side
    8,456.90x = 69,148,417.67
  5. Step 5: Solve for x
    x = 69,148,417.67/8,456.90
  6. Step 6: Final answer
    x = 8,176.57

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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.