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Finding the Fourth Proportional to 15,092.70, 20,827.53 and 8,378.13

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Solution

The fourth proportional to 15,092.70, 20,827.53 and 8,378.13 is: 11,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.70 : 20,827.53 = 8,378.13 : x
  2. Step 2: Convert to fraction form
    15,092.70/20,827.53 = 8,378.13/x
  3. Step 3: Cross multiply
    15,092.70x = 20,827.53 × 8,378.13
  4. Step 4: Simplify right side
    15,092.70x = 174,495,649.78
  5. Step 5: Solve for x
    x = 174,495,649.78/15,092.70
  6. Step 6: Final answer
    x = 11,561.60

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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.