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Finding the Fourth Proportional to 2,174.58, 3,261.18 and 713.40

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Solution

The fourth proportional to 2,174.58, 3,261.18 and 713.40 is: 1,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.58 : 3,261.18 = 713.40 : x
  2. Step 2: Convert to fraction form
    2,174.58/3,261.18 = 713.40/x
  3. Step 3: Cross multiply
    2,174.58x = 3,261.18 × 713.40
  4. Step 4: Simplify right side
    2,174.58x = 2,326,525.81
  5. Step 5: Solve for x
    x = 2,326,525.81/2,174.58
  6. Step 6: Final answer
    x = 1,069.87

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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.