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Finding the Fourth Proportional to 3,031.38, 4,546.55 and 840.33

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Solution

The fourth proportional to 3,031.38, 4,546.55 and 840.33 is: 1,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.38 : 4,546.55 = 840.33 : x
  2. Step 2: Convert to fraction form
    3,031.38/4,546.55 = 840.33/x
  3. Step 3: Cross multiply
    3,031.38x = 4,546.55 × 840.33
  4. Step 4: Simplify right side
    3,031.38x = 3,820,598.16
  5. Step 5: Solve for x
    x = 3,820,598.16/3,031.38
  6. Step 6: Final answer
    x = 1,260.35

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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.