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Finding the Fourth Proportional to 10,250.40, 15,374.80 and 4,009.20

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Solution

The fourth proportional to 10,250.40, 15,374.80 and 4,009.20 is: 6,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.40 : 15,374.80 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    10,250.40/15,374.80 = 4,009.20/x
  3. Step 3: Cross multiply
    10,250.40x = 15,374.80 × 4,009.20
  4. Step 4: Simplify right side
    10,250.40x = 61,640,648.16
  5. Step 5: Solve for x
    x = 61,640,648.16/10,250.40
  6. Step 6: Final answer
    x = 6,013.49

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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.