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Finding the Fourth Proportional to 52,693.64, 72,718.65 and 28,821.72

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Solution

The fourth proportional to 52,693.64, 72,718.65 and 28,821.72 is: 39,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,693.64 : 72,718.65 = 28,821.72 : x
  2. Step 2: Convert to fraction form
    52,693.64/72,718.65 = 28,821.72/x
  3. Step 3: Cross multiply
    52,693.64x = 72,718.65 × 28,821.72
  4. Step 4: Simplify right side
    52,693.64x = 2,095,876,569.08
  5. Step 5: Solve for x
    x = 2,095,876,569.08/52,693.64
  6. Step 6: Final answer
    x = 39,774.75

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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.