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Finding the Fourth Proportional to 38,638.72, 53,302.62 and 25,203.88

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Solution

The fourth proportional to 38,638.72, 53,302.62 and 25,203.88 is: 34,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.72 : 53,302.62 = 25,203.88 : x
  2. Step 2: Convert to fraction form
    38,638.72/53,302.62 = 25,203.88/x
  3. Step 3: Cross multiply
    38,638.72x = 53,302.62 × 25,203.88
  4. Step 4: Simplify right side
    38,638.72x = 1,343,432,838.17
  5. Step 5: Solve for x
    x = 1,343,432,838.17/38,638.72
  6. Step 6: Final answer
    x = 34,769.08

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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.