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Finding the Fourth Proportional to 1,739.56, 2,610.80 and 918.42

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Solution

The fourth proportional to 1,739.56, 2,610.80 and 918.42 is: 1,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.56 : 2,610.80 = 918.42 : x
  2. Step 2: Convert to fraction form
    1,739.56/2,610.80 = 918.42/x
  3. Step 3: Cross multiply
    1,739.56x = 2,610.80 × 918.42
  4. Step 4: Simplify right side
    1,739.56x = 2,397,810.94
  5. Step 5: Solve for x
    x = 2,397,810.94/1,739.56
  6. Step 6: Final answer
    x = 1,378.40

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1.5x scale

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.