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Finding the Fourth Proportional to 35,704.80, 49,248 and 21,539.52

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Solution

The fourth proportional to 35,704.80, 49,248 and 21,539.52 is: 29,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.80 : 49,248 = 21,539.52 : x
  2. Step 2: Convert to fraction form
    35,704.80/49,248 = 21,539.52/x
  3. Step 3: Cross multiply
    35,704.80x = 49,248 × 21,539.52
  4. Step 4: Simplify right side
    35,704.80x = 1,060,778,280.96
  5. Step 5: Solve for x
    x = 1,060,778,280.96/35,704.80
  6. Step 6: Final answer
    x = 29,709.68

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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.