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Finding the Fourth Proportional to 35,645, 49,203.08 and 20,741

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Solution

The fourth proportional to 35,645, 49,203.08 and 20,741 is: 28,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645 : 49,203.08 = 20,741 : x
  2. Step 2: Convert to fraction form
    35,645/49,203.08 = 20,741/x
  3. Step 3: Cross multiply
    35,645x = 49,203.08 × 20,741
  4. Step 4: Simplify right side
    35,645x = 1,020,521,082.28
  5. Step 5: Solve for x
    x = 1,020,521,082.28/35,645
  6. Step 6: Final answer
    x = 28,630.13

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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.