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Finding the Fourth Proportional to 3,032.33, 4,548.49 and 840.87

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Solution

The fourth proportional to 3,032.33, 4,548.49 and 840.87 is: 1,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.33 : 4,548.49 = 840.87 : x
  2. Step 2: Convert to fraction form
    3,032.33/4,548.49 = 840.87/x
  3. Step 3: Cross multiply
    3,032.33x = 4,548.49 × 840.87
  4. Step 4: Simplify right side
    3,032.33x = 3,824,686.68
  5. Step 5: Solve for x
    x = 3,824,686.68/3,032.33
  6. Step 6: Final answer
    x = 1,261.31

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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.