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Finding the Fourth Proportional to 3,031.18, 4,546.43 and 839.63

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Solution

The fourth proportional to 3,031.18, 4,546.43 and 839.63 is: 1,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.18 : 4,546.43 = 839.63 : x
  2. Step 2: Convert to fraction form
    3,031.18/4,546.43 = 839.63/x
  3. Step 3: Cross multiply
    3,031.18x = 4,546.43 × 839.63
  4. Step 4: Simplify right side
    3,031.18x = 3,817,319.02
  5. Step 5: Solve for x
    x = 3,817,319.02/3,031.18
  6. Step 6: Final answer
    x = 1,259.35

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