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Finding the Fourth Proportional to 8,962.56, 13,447.68 and 8,198.40

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Solution

The fourth proportional to 8,962.56, 13,447.68 and 8,198.40 is: 12,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.56 : 13,447.68 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    8,962.56/13,447.68 = 8,198.40/x
  3. Step 3: Cross multiply
    8,962.56x = 13,447.68 × 8,198.40
  4. Step 4: Simplify right side
    8,962.56x = 110,249,459.71
  5. Step 5: Solve for x
    x = 110,249,459.71/8,962.56
  6. Step 6: Final answer
    x = 12,301.11

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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.