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Finding the Fourth Proportional to 3,032.70, 4,548.57 and 840.97

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Solution

The fourth proportional to 3,032.70, 4,548.57 and 840.97 is: 1,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.70 : 4,548.57 = 840.97 : x
  2. Step 2: Convert to fraction form
    3,032.70/4,548.57 = 840.97/x
  3. Step 3: Cross multiply
    3,032.70x = 4,548.57 × 840.97
  4. Step 4: Simplify right side
    3,032.70x = 3,825,210.91
  5. Step 5: Solve for x
    x = 3,825,210.91/3,032.70
  6. Step 6: Final answer
    x = 1,261.32

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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.