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Finding the Fourth Proportional to 8,698.67, 13,023.15 and 8,146.91

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Solution

The fourth proportional to 8,698.67, 13,023.15 and 8,146.91 is: 12,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.67 : 13,023.15 = 8,146.91 : x
  2. Step 2: Convert to fraction form
    8,698.67/13,023.15 = 8,146.91/x
  3. Step 3: Cross multiply
    8,698.67x = 13,023.15 × 8,146.91
  4. Step 4: Simplify right side
    8,698.67x = 106,098,430.97
  5. Step 5: Solve for x
    x = 106,098,430.97/8,698.67
  6. Step 6: Final answer
    x = 12,197.09

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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.