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Finding the Fourth Proportional to 1,769.92, 2,655.20 and 1,448.16

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Solution

The fourth proportional to 1,769.92, 2,655.20 and 1,448.16 is: 2,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.92 : 2,655.20 = 1,448.16 : x
  2. Step 2: Convert to fraction form
    1,769.92/2,655.20 = 1,448.16/x
  3. Step 3: Cross multiply
    1,769.92x = 2,655.20 × 1,448.16
  4. Step 4: Simplify right side
    1,769.92x = 3,845,154.43
  5. Step 5: Solve for x
    x = 3,845,154.43/1,769.92
  6. Step 6: Final answer
    x = 2,172.50

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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.