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Finding the Fourth Proportional to 38,142, 52,636.32 and 21,146.76

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Solution

The fourth proportional to 38,142, 52,636.32 and 21,146.76 is: 29,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142 : 52,636.32 = 21,146.76 : x
  2. Step 2: Convert to fraction form
    38,142/52,636.32 = 21,146.76/x
  3. Step 3: Cross multiply
    38,142x = 52,636.32 × 21,146.76
  4. Step 4: Simplify right side
    38,142x = 1,113,087,626.32
  5. Step 5: Solve for x
    x = 1,113,087,626.32/38,142
  6. Step 6: Final answer
    x = 29,182.73

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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.