Home / 1,734.24-2,606.22-869.16

Finding the Fourth Proportional to 1,734.24, 2,606.22 and 869.16

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Solution

The fourth proportional to 1,734.24, 2,606.22 and 869.16 is: 1,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.24 : 2,606.22 = 869.16 : x
  2. Step 2: Convert to fraction form
    1,734.24/2,606.22 = 869.16/x
  3. Step 3: Cross multiply
    1,734.24x = 2,606.22 × 869.16
  4. Step 4: Simplify right side
    1,734.24x = 2,265,222.18
  5. Step 5: Solve for x
    x = 2,265,222.18/1,734.24
  6. Step 6: Final answer
    x = 1,306.18

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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.