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Finding the Fourth Proportional to 10,948, 15,108.34 and 5,980

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Solution

The fourth proportional to 10,948, 15,108.34 and 5,980 is: 8,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 15,108.34 = 5,980 : x
  2. Step 2: Convert to fraction form
    10,948/15,108.34 = 5,980/x
  3. Step 3: Cross multiply
    10,948x = 15,108.34 × 5,980
  4. Step 4: Simplify right side
    10,948x = 90,347,873.20
  5. Step 5: Solve for x
    x = 90,347,873.20/10,948
  6. Step 6: Final answer
    x = 8,252.45

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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.