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Finding the Fourth Proportional to 7,046.40, 10,564.80 and 2,663.20

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Solution

The fourth proportional to 7,046.40, 10,564.80 and 2,663.20 is: 3,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.40 : 10,564.80 = 2,663.20 : x
  2. Step 2: Convert to fraction form
    7,046.40/10,564.80 = 2,663.20/x
  3. Step 3: Cross multiply
    7,046.40x = 10,564.80 × 2,663.20
  4. Step 4: Simplify right side
    7,046.40x = 28,136,175.36
  5. Step 5: Solve for x
    x = 28,136,175.36/7,046.40
  6. Step 6: Final answer
    x = 3,992.99

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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.