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Finding the Fourth Proportional to 8,433.64, 12,646.23 and 4,487.14

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Solution

The fourth proportional to 8,433.64, 12,646.23 and 4,487.14 is: 6,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.64 : 12,646.23 = 4,487.14 : x
  2. Step 2: Convert to fraction form
    8,433.64/12,646.23 = 4,487.14/x
  3. Step 3: Cross multiply
    8,433.64x = 12,646.23 × 4,487.14
  4. Step 4: Simplify right side
    8,433.64x = 56,745,404.48
  5. Step 5: Solve for x
    x = 56,745,404.48/8,433.64
  6. Step 6: Final answer
    x = 6,728.46

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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.