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Finding the Fourth Proportional to 8,602.25, 11,871.29 and 4,876.25

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Solution

The fourth proportional to 8,602.25, 11,871.29 and 4,876.25 is: 6,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.25 : 11,871.29 = 4,876.25 : x
  2. Step 2: Convert to fraction form
    8,602.25/11,871.29 = 4,876.25/x
  3. Step 3: Cross multiply
    8,602.25x = 11,871.29 × 4,876.25
  4. Step 4: Simplify right side
    8,602.25x = 57,887,377.86
  5. Step 5: Solve for x
    x = 57,887,377.86/8,602.25
  6. Step 6: Final answer
    x = 6,729.33

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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.