Home / 2,271.43-3,407.15-690.16

Finding the Fourth Proportional to 2,271.43, 3,407.15 and 690.16

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Solution

The fourth proportional to 2,271.43, 3,407.15 and 690.16 is: 1,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.43 : 3,407.15 = 690.16 : x
  2. Step 2: Convert to fraction form
    2,271.43/3,407.15 = 690.16/x
  3. Step 3: Cross multiply
    2,271.43x = 3,407.15 × 690.16
  4. Step 4: Simplify right side
    2,271.43x = 2,351,478.64
  5. Step 5: Solve for x
    x = 2,351,478.64/2,271.43
  6. Step 6: Final answer
    x = 1,035.24

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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.