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Finding the Fourth Proportional to 51,006, 70,394.88 and 28,650

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Solution

The fourth proportional to 51,006, 70,394.88 and 28,650 is: 39,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006 : 70,394.88 = 28,650 : x
  2. Step 2: Convert to fraction form
    51,006/70,394.88 = 28,650/x
  3. Step 3: Cross multiply
    51,006x = 70,394.88 × 28,650
  4. Step 4: Simplify right side
    51,006x = 2,016,813,312.00
  5. Step 5: Solve for x
    x = 2,016,813,312.00/51,006
  6. Step 6: Final answer
    x = 39,540.71

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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.