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Finding the Fourth Proportional to 11,275.20, 15,552 and 9,282.60

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Solution

The fourth proportional to 11,275.20, 15,552 and 9,282.60 is: 12,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.20 : 15,552 = 9,282.60 : x
  2. Step 2: Convert to fraction form
    11,275.20/15,552 = 9,282.60/x
  3. Step 3: Cross multiply
    11,275.20x = 15,552 × 9,282.60
  4. Step 4: Simplify right side
    11,275.20x = 144,362,995.20
  5. Step 5: Solve for x
    x = 144,362,995.20/11,275.20
  6. Step 6: Final answer
    x = 12,803.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.