Home / 1,527.98-2,108.61-829.35

Finding the Fourth Proportional to 1,527.98, 2,108.61 and 829.35

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Solution

The fourth proportional to 1,527.98, 2,108.61 and 829.35 is: 1,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.98 : 2,108.61 = 829.35 : x
  2. Step 2: Convert to fraction form
    1,527.98/2,108.61 = 829.35/x
  3. Step 3: Cross multiply
    1,527.98x = 2,108.61 × 829.35
  4. Step 4: Simplify right side
    1,527.98x = 1,748,775.70
  5. Step 5: Solve for x
    x = 1,748,775.70/1,527.98
  6. Step 6: Final answer
    x = 1,144.50

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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.