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Finding the Fourth Proportional to 10,272.80, 15,398.40 and 4,030.40

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Solution

The fourth proportional to 10,272.80, 15,398.40 and 4,030.40 is: 6,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,398.40 = 4,030.40 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,398.40 = 4,030.40/x
  3. Step 3: Cross multiply
    10,272.80x = 15,398.40 × 4,030.40
  4. Step 4: Simplify right side
    10,272.80x = 62,061,711.36
  5. Step 5: Solve for x
    x = 62,061,711.36/10,272.80
  6. Step 6: Final answer
    x = 6,041.36

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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.