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Finding the Fourth Proportional to 10,980, 15,152.40 and 6,012

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Solution

The fourth proportional to 10,980, 15,152.40 and 6,012 is: 8,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980 : 15,152.40 = 6,012 : x
  2. Step 2: Convert to fraction form
    10,980/15,152.40 = 6,012/x
  3. Step 3: Cross multiply
    10,980x = 15,152.40 × 6,012
  4. Step 4: Simplify right side
    10,980x = 91,096,228.80
  5. Step 5: Solve for x
    x = 91,096,228.80/10,980
  6. Step 6: Final answer
    x = 8,296.56

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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.