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Finding the Fourth Proportional to 27,902.80, 38,506.48 and 15,967.20

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Solution

The fourth proportional to 27,902.80, 38,506.48 and 15,967.20 is: 22,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.80 : 38,506.48 = 15,967.20 : x
  2. Step 2: Convert to fraction form
    27,902.80/38,506.48 = 15,967.20/x
  3. Step 3: Cross multiply
    27,902.80x = 38,506.48 × 15,967.20
  4. Step 4: Simplify right side
    27,902.80x = 614,840,667.46
  5. Step 5: Solve for x
    x = 614,840,667.46/27,902.80
  6. Step 6: Final answer
    x = 22,035.09

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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.