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Finding the Fourth Proportional to 11,060.64, 16,578 and 5,215.68

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Solution

The fourth proportional to 11,060.64, 16,578 and 5,215.68 is: 7,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,060.64 : 16,578 = 5,215.68 : x
  2. Step 2: Convert to fraction form
    11,060.64/16,578 = 5,215.68/x
  3. Step 3: Cross multiply
    11,060.64x = 16,578 × 5,215.68
  4. Step 4: Simplify right side
    11,060.64x = 86,465,543.04
  5. Step 5: Solve for x
    x = 86,465,543.04/11,060.64
  6. Step 6: Final answer
    x = 7,817.41

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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.