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Finding the Fourth Proportional to 52,862.84, 72,950.82 and 28,989.69

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Solution

The fourth proportional to 52,862.84, 72,950.82 and 28,989.69 is: 40,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.84 : 72,950.82 = 28,989.69 : x
  2. Step 2: Convert to fraction form
    52,862.84/72,950.82 = 28,989.69/x
  3. Step 3: Cross multiply
    52,862.84x = 72,950.82 × 28,989.69
  4. Step 4: Simplify right side
    52,862.84x = 2,114,821,657.05
  5. Step 5: Solve for x
    x = 2,114,821,657.05/52,862.84
  6. Step 6: Final answer
    x = 40,005.83

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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.