Home / 1,527.87-2,108.40-829.23

Finding the Fourth Proportional to 1,527.87, 2,108.40 and 829.23

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Solution

The fourth proportional to 1,527.87, 2,108.40 and 829.23 is: 1,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.87 : 2,108.40 = 829.23 : x
  2. Step 2: Convert to fraction form
    1,527.87/2,108.40 = 829.23/x
  3. Step 3: Cross multiply
    1,527.87x = 2,108.40 × 829.23
  4. Step 4: Simplify right side
    1,527.87x = 1,748,348.53
  5. Step 5: Solve for x
    x = 1,748,348.53/1,527.87
  6. Step 6: Final answer
    x = 1,144.30

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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.