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Finding the Fourth Proportional to 30,041.28, 45,067.92 and 9,264

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Solution

The fourth proportional to 30,041.28, 45,067.92 and 9,264 is: 13,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.28 : 45,067.92 = 9,264 : x
  2. Step 2: Convert to fraction form
    30,041.28/45,067.92 = 9,264/x
  3. Step 3: Cross multiply
    30,041.28x = 45,067.92 × 9,264
  4. Step 4: Simplify right side
    30,041.28x = 417,509,210.88
  5. Step 5: Solve for x
    x = 417,509,210.88/30,041.28
  6. Step 6: Final answer
    x = 13,897.85

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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.