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Finding the Fourth Proportional to 51,000, 70,386.60 and 28,644

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Solution

The fourth proportional to 51,000, 70,386.60 and 28,644 is: 39,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000 : 70,386.60 = 28,644 : x
  2. Step 2: Convert to fraction form
    51,000/70,386.60 = 28,644/x
  3. Step 3: Cross multiply
    51,000x = 70,386.60 × 28,644
  4. Step 4: Simplify right side
    51,000x = 2,016,153,770.40
  5. Step 5: Solve for x
    x = 2,016,153,770.40/51,000
  6. Step 6: Final answer
    x = 39,532.43

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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.