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Finding the Fourth Proportional to 7,521, 11,278.71 and 3,356.88

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Solution

The fourth proportional to 7,521, 11,278.71 and 3,356.88 is: 5,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521 : 11,278.71 = 3,356.88 : x
  2. Step 2: Convert to fraction form
    7,521/11,278.71 = 3,356.88/x
  3. Step 3: Cross multiply
    7,521x = 11,278.71 × 3,356.88
  4. Step 4: Simplify right side
    7,521x = 37,861,276.02
  5. Step 5: Solve for x
    x = 37,861,276.02/7,521
  6. Step 6: Final answer
    x = 5,034.07

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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.