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Finding the Fourth Proportional to 8,438.78, 12,582.17 and 7,736.21

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Solution

The fourth proportional to 8,438.78, 12,582.17 and 7,736.21 is: 11,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.78 : 12,582.17 = 7,736.21 : x
  2. Step 2: Convert to fraction form
    8,438.78/12,582.17 = 7,736.21/x
  3. Step 3: Cross multiply
    8,438.78x = 12,582.17 × 7,736.21
  4. Step 4: Simplify right side
    8,438.78x = 97,338,246.46
  5. Step 5: Solve for x
    x = 97,338,246.46/8,438.78
  6. Step 6: Final answer
    x = 11,534.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.