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Finding the Fourth Proportional to 15,287.76, 21,095.88 and 8,482

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Solution

The fourth proportional to 15,287.76, 21,095.88 and 8,482 is: 11,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.76 : 21,095.88 = 8,482 : x
  2. Step 2: Convert to fraction form
    15,287.76/21,095.88 = 8,482/x
  3. Step 3: Cross multiply
    15,287.76x = 21,095.88 × 8,482
  4. Step 4: Simplify right side
    15,287.76x = 178,935,254.16
  5. Step 5: Solve for x
    x = 178,935,254.16/15,287.76
  6. Step 6: Final answer
    x = 11,704.48

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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.