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Finding the Fourth Proportional to 10,320, 15,480.06 and 2,528.82

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Solution

The fourth proportional to 10,320, 15,480.06 and 2,528.82 is: 3,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 15,480.06 = 2,528.82 : x
  2. Step 2: Convert to fraction form
    10,320/15,480.06 = 2,528.82/x
  3. Step 3: Cross multiply
    10,320x = 15,480.06 × 2,528.82
  4. Step 4: Simplify right side
    10,320x = 39,146,285.33
  5. Step 5: Solve for x
    x = 39,146,285.33/10,320
  6. Step 6: Final answer
    x = 3,793.24

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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.