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Finding the Fourth Proportional to 51,817, 71,507.46 and 28,265

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Solution

The fourth proportional to 51,817, 71,507.46 and 28,265 is: 39,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817 : 71,507.46 = 28,265 : x
  2. Step 2: Convert to fraction form
    51,817/71,507.46 = 28,265/x
  3. Step 3: Cross multiply
    51,817x = 71,507.46 × 28,265
  4. Step 4: Simplify right side
    51,817x = 2,021,158,356.90
  5. Step 5: Solve for x
    x = 2,021,158,356.90/51,817
  6. Step 6: Final answer
    x = 39,005.70

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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.