Home / 1,521.83-2,281.38-547.25

Finding the Fourth Proportional to 1,521.83, 2,281.38 and 547.25

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Solution

The fourth proportional to 1,521.83, 2,281.38 and 547.25 is: 820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.83 : 2,281.38 = 547.25 : x
  2. Step 2: Convert to fraction form
    1,521.83/2,281.38 = 547.25/x
  3. Step 3: Cross multiply
    1,521.83x = 2,281.38 × 547.25
  4. Step 4: Simplify right side
    1,521.83x = 1,248,485.21
  5. Step 5: Solve for x
    x = 1,248,485.21/1,521.83
  6. Step 6: Final answer
    x = 820.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.