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Finding the Fourth Proportional to 3,877.98, 5,352.40 and 2,307

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Solution

The fourth proportional to 3,877.98, 5,352.40 and 2,307 is: 3,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.98 : 5,352.40 = 2,307 : x
  2. Step 2: Convert to fraction form
    3,877.98/5,352.40 = 2,307/x
  3. Step 3: Cross multiply
    3,877.98x = 5,352.40 × 2,307
  4. Step 4: Simplify right side
    3,877.98x = 12,347,986.80
  5. Step 5: Solve for x
    x = 12,347,986.80/3,877.98
  6. Step 6: Final answer
    x = 3,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.