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Finding the Fourth Proportional to 7,946.40, 11,948.40 and 6,679.20

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Solution

The fourth proportional to 7,946.40, 11,948.40 and 6,679.20 is: 10,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.40 : 11,948.40 = 6,679.20 : x
  2. Step 2: Convert to fraction form
    7,946.40/11,948.40 = 6,679.20/x
  3. Step 3: Cross multiply
    7,946.40x = 11,948.40 × 6,679.20
  4. Step 4: Simplify right side
    7,946.40x = 79,805,753.28
  5. Step 5: Solve for x
    x = 79,805,753.28/7,946.40
  6. Step 6: Final answer
    x = 10,043.01

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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.