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Finding the Fourth Proportional to 2,739.78, 3,779.97 and 1,560.01

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Solution

The fourth proportional to 2,739.78, 3,779.97 and 1,560.01 is: 2,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.78 : 3,779.97 = 1,560.01 : x
  2. Step 2: Convert to fraction form
    2,739.78/3,779.97 = 1,560.01/x
  3. Step 3: Cross multiply
    2,739.78x = 3,779.97 × 1,560.01
  4. Step 4: Simplify right side
    2,739.78x = 5,896,783.20
  5. Step 5: Solve for x
    x = 5,896,783.20/2,739.78
  6. Step 6: Final answer
    x = 2,152.29

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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.