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Finding the Fourth Proportional to 2,720, 4,078.40 and 1,485.28

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Solution

The fourth proportional to 2,720, 4,078.40 and 1,485.28 is: 2,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720 : 4,078.40 = 1,485.28 : x
  2. Step 2: Convert to fraction form
    2,720/4,078.40 = 1,485.28/x
  3. Step 3: Cross multiply
    2,720x = 4,078.40 × 1,485.28
  4. Step 4: Simplify right side
    2,720x = 6,057,565.95
  5. Step 5: Solve for x
    x = 6,057,565.95/2,720
  6. Step 6: Final answer
    x = 2,227.05

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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.