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Finding the Fourth Proportional to 8,342.58, 12,513.90 and 2,419.83

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Solution

The fourth proportional to 8,342.58, 12,513.90 and 2,419.83 is: 3,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.58 : 12,513.90 = 2,419.83 : x
  2. Step 2: Convert to fraction form
    8,342.58/12,513.90 = 2,419.83/x
  3. Step 3: Cross multiply
    8,342.58x = 12,513.90 × 2,419.83
  4. Step 4: Simplify right side
    8,342.58x = 30,281,510.64
  5. Step 5: Solve for x
    x = 30,281,510.64/8,342.58
  6. Step 6: Final answer
    x = 3,629.75

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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.