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Finding the Fourth Proportional to 2,720, 3,753.60 and 1,478

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Solution

The fourth proportional to 2,720, 3,753.60 and 1,478 is: 2,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720 : 3,753.60 = 1,478 : x
  2. Step 2: Convert to fraction form
    2,720/3,753.60 = 1,478/x
  3. Step 3: Cross multiply
    2,720x = 3,753.60 × 1,478
  4. Step 4: Simplify right side
    2,720x = 5,547,820.80
  5. Step 5: Solve for x
    x = 5,547,820.80/2,720
  6. Step 6: Final answer
    x = 2,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.