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Finding the Fourth Proportional to 27,902.88, 38,506 and 15,328.44

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Solution

The fourth proportional to 27,902.88, 38,506 and 15,328.44 is: 21,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.88 : 38,506 = 15,328.44 : x
  2. Step 2: Convert to fraction form
    27,902.88/38,506 = 15,328.44/x
  3. Step 3: Cross multiply
    27,902.88x = 38,506 × 15,328.44
  4. Step 4: Simplify right side
    27,902.88x = 590,236,910.64
  5. Step 5: Solve for x
    x = 590,236,910.64/27,902.88
  6. Step 6: Final answer
    x = 21,153.26

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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.