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Finding the Fourth Proportional to 15,287.84, 21,098 and 8,574.88

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Solution

The fourth proportional to 15,287.84, 21,098 and 8,574.88 is: 11,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.84 : 21,098 = 8,574.88 : x
  2. Step 2: Convert to fraction form
    15,287.84/21,098 = 8,574.88/x
  3. Step 3: Cross multiply
    15,287.84x = 21,098 × 8,574.88
  4. Step 4: Simplify right side
    15,287.84x = 180,912,818.24
  5. Step 5: Solve for x
    x = 180,912,818.24/15,287.84
  6. Step 6: Final answer
    x = 11,833.77

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1.5x scale

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.