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Finding the Fourth Proportional to 8,521.70, 11,761.14 and 8,148.08

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Solution

The fourth proportional to 8,521.70, 11,761.14 and 8,148.08 is: 11,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.70 : 11,761.14 = 8,148.08 : x
  2. Step 2: Convert to fraction form
    8,521.70/11,761.14 = 8,148.08/x
  3. Step 3: Cross multiply
    8,521.70x = 11,761.14 × 8,148.08
  4. Step 4: Simplify right side
    8,521.70x = 95,830,650.81
  5. Step 5: Solve for x
    x = 95,830,650.81/8,521.70
  6. Step 6: Final answer
    x = 11,245.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.