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Finding the Fourth Proportional to 38,080, 57,120 and 10,378

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Solution

The fourth proportional to 38,080, 57,120 and 10,378 is: 15,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080 : 57,120 = 10,378 : x
  2. Step 2: Convert to fraction form
    38,080/57,120 = 10,378/x
  3. Step 3: Cross multiply
    38,080x = 57,120 × 10,378
  4. Step 4: Simplify right side
    38,080x = 592,791,360
  5. Step 5: Solve for x
    x = 592,791,360/38,080
  6. Step 6: Final answer
    x = 15,567

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.