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Finding the Fourth Proportional to 38,174, 52,680.12 and 21,407

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Solution

The fourth proportional to 38,174, 52,680.12 and 21,407 is: 29,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174 : 52,680.12 = 21,407 : x
  2. Step 2: Convert to fraction form
    38,174/52,680.12 = 21,407/x
  3. Step 3: Cross multiply
    38,174x = 52,680.12 × 21,407
  4. Step 4: Simplify right side
    38,174x = 1,127,723,328.84
  5. Step 5: Solve for x
    x = 1,127,723,328.84/38,174
  6. Step 6: Final answer
    x = 29,541.66

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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.