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Finding the Fourth Proportional to 2,904.98, 4,357.47 and 825.21

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Solution

The fourth proportional to 2,904.98, 4,357.47 and 825.21 is: 1,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.98 : 4,357.47 = 825.21 : x
  2. Step 2: Convert to fraction form
    2,904.98/4,357.47 = 825.21/x
  3. Step 3: Cross multiply
    2,904.98x = 4,357.47 × 825.21
  4. Step 4: Simplify right side
    2,904.98x = 3,595,827.82
  5. Step 5: Solve for x
    x = 3,595,827.82/2,904.98
  6. Step 6: Final answer
    x = 1,237.82

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Similar ratio
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1.5x scale

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.