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Finding the Fourth Proportional to 10,967, 15,134.78 and 5,999.32

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Solution

The fourth proportional to 10,967, 15,134.78 and 5,999.32 is: 8,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967 : 15,134.78 = 5,999.32 : x
  2. Step 2: Convert to fraction form
    10,967/15,134.78 = 5,999.32/x
  3. Step 3: Cross multiply
    10,967x = 15,134.78 × 5,999.32
  4. Step 4: Simplify right side
    10,967x = 90,798,388.35
  5. Step 5: Solve for x
    x = 90,798,388.35/10,967
  6. Step 6: Final answer
    x = 8,279.24

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1.5x scale

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.