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Finding the Fourth Proportional to 15,287.86, 21,096 and 8,572.57

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Solution

The fourth proportional to 15,287.86, 21,096 and 8,572.57 is: 11,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.86 : 21,096 = 8,572.57 : x
  2. Step 2: Convert to fraction form
    15,287.86/21,096 = 8,572.57/x
  3. Step 3: Cross multiply
    15,287.86x = 21,096 × 8,572.57
  4. Step 4: Simplify right side
    15,287.86x = 180,846,936.72
  5. Step 5: Solve for x
    x = 180,846,936.72/15,287.86
  6. Step 6: Final answer
    x = 11,829.45

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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.