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Finding the Fourth Proportional to 8,258.47, 12,387.81 and 2,415.20

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Solution

The fourth proportional to 8,258.47, 12,387.81 and 2,415.20 is: 3,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.47 : 12,387.81 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    8,258.47/12,387.81 = 2,415.20/x
  3. Step 3: Cross multiply
    8,258.47x = 12,387.81 × 2,415.20
  4. Step 4: Simplify right side
    8,258.47x = 29,919,038.71
  5. Step 5: Solve for x
    x = 29,919,038.71/8,258.47
  6. Step 6: Final answer
    x = 3,622.83

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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.