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Finding the Fourth Proportional to 2,663.44, 3,971.69 and 2,478.76

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Solution

The fourth proportional to 2,663.44, 3,971.69 and 2,478.76 is: 3,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.44 : 3,971.69 = 2,478.76 : x
  2. Step 2: Convert to fraction form
    2,663.44/3,971.69 = 2,478.76/x
  3. Step 3: Cross multiply
    2,663.44x = 3,971.69 × 2,478.76
  4. Step 4: Simplify right side
    2,663.44x = 9,844,866.30
  5. Step 5: Solve for x
    x = 9,844,866.30/2,663.44
  6. Step 6: Final answer
    x = 3,696.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.