Home / 2,271.13-3,407.18-711.10

Finding the Fourth Proportional to 2,271.13, 3,407.18 and 711.10

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Solution

The fourth proportional to 2,271.13, 3,407.18 and 711.10 is: 1,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.13 : 3,407.18 = 711.10 : x
  2. Step 2: Convert to fraction form
    2,271.13/3,407.18 = 711.10/x
  3. Step 3: Cross multiply
    2,271.13x = 3,407.18 × 711.10
  4. Step 4: Simplify right side
    2,271.13x = 2,422,825.11
  5. Step 5: Solve for x
    x = 2,422,825.11/2,271.13
  6. Step 6: Final answer
    x = 1,066.80

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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.