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Finding the Fourth Proportional to 8,357.47, 12,534.13 and 3,678.64

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Solution

The fourth proportional to 8,357.47, 12,534.13 and 3,678.64 is: 5,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.47 : 12,534.13 = 3,678.64 : x
  2. Step 2: Convert to fraction form
    8,357.47/12,534.13 = 3,678.64/x
  3. Step 3: Cross multiply
    8,357.47x = 12,534.13 × 3,678.64
  4. Step 4: Simplify right side
    8,357.47x = 46,108,551.98
  5. Step 5: Solve for x
    x = 46,108,551.98/8,357.47
  6. Step 6: Final answer
    x = 5,517.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.