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Finding the Fourth Proportional to 34,790.46, 48,009.96 and 20,643

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Solution

The fourth proportional to 34,790.46, 48,009.96 and 20,643 is: 28,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,790.46 : 48,009.96 = 20,643 : x
  2. Step 2: Convert to fraction form
    34,790.46/48,009.96 = 20,643/x
  3. Step 3: Cross multiply
    34,790.46x = 48,009.96 × 20,643
  4. Step 4: Simplify right side
    34,790.46x = 991,069,604.28
  5. Step 5: Solve for x
    x = 991,069,604.28/34,790.46
  6. Step 6: Final answer
    x = 28,486.82

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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.