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Finding the Fourth Proportional to 2,271.66, 3,406.58 and 711.15

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Solution

The fourth proportional to 2,271.66, 3,406.58 and 711.15 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.66 : 3,406.58 = 711.15 : x
  2. Step 2: Convert to fraction form
    2,271.66/3,406.58 = 711.15/x
  3. Step 3: Cross multiply
    2,271.66x = 3,406.58 × 711.15
  4. Step 4: Simplify right side
    2,271.66x = 2,422,585.81
  5. Step 5: Solve for x
    x = 2,422,585.81/2,271.66
  6. Step 6: Final answer
    x = 1,066.44

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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.