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Finding the Fourth Proportional to 47,128.56, 70,702.56 and 15,963

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Solution

The fourth proportional to 47,128.56, 70,702.56 and 15,963 is: 23,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128.56 : 70,702.56 = 15,963 : x
  2. Step 2: Convert to fraction form
    47,128.56/70,702.56 = 15,963/x
  3. Step 3: Cross multiply
    47,128.56x = 70,702.56 × 15,963
  4. Step 4: Simplify right side
    47,128.56x = 1,128,624,965.28
  5. Step 5: Solve for x
    x = 1,128,624,965.28/47,128.56
  6. Step 6: Final answer
    x = 23,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.