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Finding the Fourth Proportional to 8,646.40, 12,964.80 and 3,446.40

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Solution

The fourth proportional to 8,646.40, 12,964.80 and 3,446.40 is: 5,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.40 : 12,964.80 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    8,646.40/12,964.80 = 3,446.40/x
  3. Step 3: Cross multiply
    8,646.40x = 12,964.80 × 3,446.40
  4. Step 4: Simplify right side
    8,646.40x = 44,681,886.72
  5. Step 5: Solve for x
    x = 44,681,886.72/8,646.40
  6. Step 6: Final answer
    x = 5,167.69

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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.