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Finding the Fourth Proportional to 8,926.67, 12,315.72 and 5,149.77

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Solution

The fourth proportional to 8,926.67, 12,315.72 and 5,149.77 is: 7,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.67 : 12,315.72 = 5,149.77 : x
  2. Step 2: Convert to fraction form
    8,926.67/12,315.72 = 5,149.77/x
  3. Step 3: Cross multiply
    8,926.67x = 12,315.72 × 5,149.77
  4. Step 4: Simplify right side
    8,926.67x = 63,423,098.51
  5. Step 5: Solve for x
    x = 63,423,098.51/8,926.67
  6. Step 6: Final answer
    x = 7,104.90

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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.