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Finding the Fourth Proportional to 8,642.40, 12,958.80 and 3,442.40

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Solution

The fourth proportional to 8,642.40, 12,958.80 and 3,442.40 is: 5,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.40 : 12,958.80 = 3,442.40 : x
  2. Step 2: Convert to fraction form
    8,642.40/12,958.80 = 3,442.40/x
  3. Step 3: Cross multiply
    8,642.40x = 12,958.80 × 3,442.40
  4. Step 4: Simplify right side
    8,642.40x = 44,609,373.12
  5. Step 5: Solve for x
    x = 44,609,373.12/8,642.40
  6. Step 6: Final answer
    x = 5,161.69

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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.