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Finding the Fourth Proportional to 1,765.96, 2,649.28 and 1,479.40

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Solution

The fourth proportional to 1,765.96, 2,649.28 and 1,479.40 is: 2,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.96 : 2,649.28 = 1,479.40 : x
  2. Step 2: Convert to fraction form
    1,765.96/2,649.28 = 1,479.40/x
  3. Step 3: Cross multiply
    1,765.96x = 2,649.28 × 1,479.40
  4. Step 4: Simplify right side
    1,765.96x = 3,919,344.83
  5. Step 5: Solve for x
    x = 3,919,344.83/1,765.96
  6. Step 6: Final answer
    x = 2,219.38

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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.