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Finding the Fourth Proportional to 52,648, 72,654.10 and 28,774.84

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Solution

The fourth proportional to 52,648, 72,654.10 and 28,774.84 is: 39,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648 : 72,654.10 = 28,774.84 : x
  2. Step 2: Convert to fraction form
    52,648/72,654.10 = 28,774.84/x
  3. Step 3: Cross multiply
    52,648x = 72,654.10 × 28,774.84
  4. Step 4: Simplify right side
    52,648x = 2,090,610,102.84
  5. Step 5: Solve for x
    x = 2,090,610,102.84/52,648
  6. Step 6: Final answer
    x = 39,709.20

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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.