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Finding the Fourth Proportional to 1,527.88, 2,108.47 and 829.25

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Solution

The fourth proportional to 1,527.88, 2,108.47 and 829.25 is: 1,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.88 : 2,108.47 = 829.25 : x
  2. Step 2: Convert to fraction form
    1,527.88/2,108.47 = 829.25/x
  3. Step 3: Cross multiply
    1,527.88x = 2,108.47 × 829.25
  4. Step 4: Simplify right side
    1,527.88x = 1,748,448.75
  5. Step 5: Solve for x
    x = 1,748,448.75/1,527.88
  6. Step 6: Final answer
    x = 1,144.37

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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.