Home / 1,527.86-2,108.41-829.23

Finding the Fourth Proportional to 1,527.86, 2,108.41 and 829.23

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Solution

The fourth proportional to 1,527.86, 2,108.41 and 829.23 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.86 : 2,108.41 = 829.23 : x
  2. Step 2: Convert to fraction form
    1,527.86/2,108.41 = 829.23/x
  3. Step 3: Cross multiply
    1,527.86x = 2,108.41 × 829.23
  4. Step 4: Simplify right side
    1,527.86x = 1,748,354.75
  5. Step 5: Solve for x
    x = 1,748,354.75/1,527.86
  6. Step 6: Final answer
    x = 1,144.32

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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.