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Finding the Fourth Proportional to 8,465.68, 12,698.52 and 4,082.32

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Solution

The fourth proportional to 8,465.68, 12,698.52 and 4,082.32 is: 6,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.68 : 12,698.52 = 4,082.32 : x
  2. Step 2: Convert to fraction form
    8,465.68/12,698.52 = 4,082.32/x
  3. Step 3: Cross multiply
    8,465.68x = 12,698.52 × 4,082.32
  4. Step 4: Simplify right side
    8,465.68x = 51,839,422.17
  5. Step 5: Solve for x
    x = 51,839,422.17/8,465.68
  6. Step 6: Final answer
    x = 6,123.48

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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.