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Finding the Fourth Proportional to 26,754.40, 40,120.80 and 9,215.20

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Solution

The fourth proportional to 26,754.40, 40,120.80 and 9,215.20 is: 13,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754.40 : 40,120.80 = 9,215.20 : x
  2. Step 2: Convert to fraction form
    26,754.40/40,120.80 = 9,215.20/x
  3. Step 3: Cross multiply
    26,754.40x = 40,120.80 × 9,215.20
  4. Step 4: Simplify right side
    26,754.40x = 369,721,196.16
  5. Step 5: Solve for x
    x = 369,721,196.16/26,754.40
  6. Step 6: Final answer
    x = 13,819.08

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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.