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Finding the Fourth Proportional to 38,143.84, 52,641 and 21,148.84

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Solution

The fourth proportional to 38,143.84, 52,641 and 21,148.84 is: 29,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,143.84 : 52,641 = 21,148.84 : x
  2. Step 2: Convert to fraction form
    38,143.84/52,641 = 21,148.84/x
  3. Step 3: Cross multiply
    38,143.84x = 52,641 × 21,148.84
  4. Step 4: Simplify right side
    38,143.84x = 1,113,296,086.44
  5. Step 5: Solve for x
    x = 1,113,296,086.44/38,143.84
  6. Step 6: Final answer
    x = 29,186.79

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Double scale
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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.