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Finding the Fourth Proportional to 8,402.58, 12,647.66 and 7,134.12

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Solution

The fourth proportional to 8,402.58, 12,647.66 and 7,134.12 is: 10,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.58 : 12,647.66 = 7,134.12 : x
  2. Step 2: Convert to fraction form
    8,402.58/12,647.66 = 7,134.12/x
  3. Step 3: Cross multiply
    8,402.58x = 12,647.66 × 7,134.12
  4. Step 4: Simplify right side
    8,402.58x = 90,229,888.49
  5. Step 5: Solve for x
    x = 90,229,888.49/8,402.58
  6. Step 6: Final answer
    x = 10,738.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.