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Finding the Fourth Proportional to 1,767.92, 2,649.65 and 1,548

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Solution

The fourth proportional to 1,767.92, 2,649.65 and 1,548 is: 2,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.92 : 2,649.65 = 1,548 : x
  2. Step 2: Convert to fraction form
    1,767.92/2,649.65 = 1,548/x
  3. Step 3: Cross multiply
    1,767.92x = 2,649.65 × 1,548
  4. Step 4: Simplify right side
    1,767.92x = 4,101,650.46
  5. Step 5: Solve for x
    x = 4,101,650.46/1,767.92
  6. Step 6: Final answer
    x = 2,320.05

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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.