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Finding the Fourth Proportional to 35,672.89, 49,228.95 and 21,523

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Solution

The fourth proportional to 35,672.89, 49,228.95 and 21,523 is: 29,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.89 : 49,228.95 = 21,523 : x
  2. Step 2: Convert to fraction form
    35,672.89/49,228.95 = 21,523/x
  3. Step 3: Cross multiply
    35,672.89x = 49,228.95 × 21,523
  4. Step 4: Simplify right side
    35,672.89x = 1,059,554,690.85
  5. Step 5: Solve for x
    x = 1,059,554,690.85/35,672.89
  6. Step 6: Final answer
    x = 29,701.96

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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.