Home / 1,527.75-2,108.34-829.17

Finding the Fourth Proportional to 1,527.75, 2,108.34 and 829.17

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Solution

The fourth proportional to 1,527.75, 2,108.34 and 829.17 is: 1,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.75 : 2,108.34 = 829.17 : x
  2. Step 2: Convert to fraction form
    1,527.75/2,108.34 = 829.17/x
  3. Step 3: Cross multiply
    1,527.75x = 2,108.34 × 829.17
  4. Step 4: Simplify right side
    1,527.75x = 1,748,172.28
  5. Step 5: Solve for x
    x = 1,748,172.28/1,527.75
  6. Step 6: Final answer
    x = 1,144.28

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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.