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Finding the Fourth Proportional to 6,377.72, 9,564.94 and 2,480

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Solution

The fourth proportional to 6,377.72, 9,564.94 and 2,480 is: 3,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.72 : 9,564.94 = 2,480 : x
  2. Step 2: Convert to fraction form
    6,377.72/9,564.94 = 2,480/x
  3. Step 3: Cross multiply
    6,377.72x = 9,564.94 × 2,480
  4. Step 4: Simplify right side
    6,377.72x = 23,721,051.20
  5. Step 5: Solve for x
    x = 23,721,051.20/6,377.72
  6. Step 6: Final answer
    x = 3,719.36

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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.