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Finding the Fourth Proportional to 27,572.50, 38,056.80 and 15,642.82

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Solution

The fourth proportional to 27,572.50, 38,056.80 and 15,642.82 is: 21,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.50 : 38,056.80 = 15,642.82 : x
  2. Step 2: Convert to fraction form
    27,572.50/38,056.80 = 15,642.82/x
  3. Step 3: Cross multiply
    27,572.50x = 38,056.80 × 15,642.82
  4. Step 4: Simplify right side
    27,572.50x = 595,315,672.18
  5. Step 5: Solve for x
    x = 595,315,672.18/27,572.50
  6. Step 6: Final answer
    x = 21,590.92

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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.