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Finding the Fourth Proportional to 8,964.68, 12,372.36 and 5,429.12

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Solution

The fourth proportional to 8,964.68, 12,372.36 and 5,429.12 is: 7,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.68 : 12,372.36 = 5,429.12 : x
  2. Step 2: Convert to fraction form
    8,964.68/12,372.36 = 5,429.12/x
  3. Step 3: Cross multiply
    8,964.68x = 12,372.36 × 5,429.12
  4. Step 4: Simplify right side
    8,964.68x = 67,171,027.12
  5. Step 5: Solve for x
    x = 67,171,027.12/8,964.68
  6. Step 6: Final answer
    x = 7,492.85

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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.