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Finding the Fourth Proportional to 8,342.40, 12,499.20 and 5,419.20

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Solution

The fourth proportional to 8,342.40, 12,499.20 and 5,419.20 is: 8,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.40 : 12,499.20 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    8,342.40/12,499.20 = 5,419.20/x
  3. Step 3: Cross multiply
    8,342.40x = 12,499.20 × 5,419.20
  4. Step 4: Simplify right side
    8,342.40x = 67,735,664.64
  5. Step 5: Solve for x
    x = 67,735,664.64/8,342.40
  6. Step 6: Final answer
    x = 8,119.45

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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.