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Finding the Fourth Proportional to 10,258.40, 15,371.40 and 8,865.20

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Solution

The fourth proportional to 10,258.40, 15,371.40 and 8,865.20 is: 13,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.40 : 15,371.40 = 8,865.20 : x
  2. Step 2: Convert to fraction form
    10,258.40/15,371.40 = 8,865.20/x
  3. Step 3: Cross multiply
    10,258.40x = 15,371.40 × 8,865.20
  4. Step 4: Simplify right side
    10,258.40x = 136,270,535.28
  5. Step 5: Solve for x
    x = 136,270,535.28/10,258.40
  6. Step 6: Final answer
    x = 13,283.80

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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.