Home / 1,527.66-2,108.18-829.04

Finding the Fourth Proportional to 1,527.66, 2,108.18 and 829.04

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Solution

The fourth proportional to 1,527.66, 2,108.18 and 829.04 is: 1,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.66 : 2,108.18 = 829.04 : x
  2. Step 2: Convert to fraction form
    1,527.66/2,108.18 = 829.04/x
  3. Step 3: Cross multiply
    1,527.66x = 2,108.18 × 829.04
  4. Step 4: Simplify right side
    1,527.66x = 1,747,765.55
  5. Step 5: Solve for x
    x = 1,747,765.55/1,527.66
  6. Step 6: Final answer
    x = 1,144.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.