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Finding the Fourth Proportional to 10,963, 15,129.30 and 5,995

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Solution

The fourth proportional to 10,963, 15,129.30 and 5,995 is: 8,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963 : 15,129.30 = 5,995 : x
  2. Step 2: Convert to fraction form
    10,963/15,129.30 = 5,995/x
  3. Step 3: Cross multiply
    10,963x = 15,129.30 × 5,995
  4. Step 4: Simplify right side
    10,963x = 90,700,153.50
  5. Step 5: Solve for x
    x = 90,700,153.50/10,963
  6. Step 6: Final answer
    x = 8,273.30

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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.