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Finding the Fourth Proportional to 52,008.76, 71,772 and 28,135.36

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Solution

The fourth proportional to 52,008.76, 71,772 and 28,135.36 is: 38,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008.76 : 71,772 = 28,135.36 : x
  2. Step 2: Convert to fraction form
    52,008.76/71,772 = 28,135.36/x
  3. Step 3: Cross multiply
    52,008.76x = 71,772 × 28,135.36
  4. Step 4: Simplify right side
    52,008.76x = 2,019,331,057.92
  5. Step 5: Solve for x
    x = 2,019,331,057.92/52,008.76
  6. Step 6: Final answer
    x = 38,826.75

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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.