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Finding the Fourth Proportional to 3,135.60, 4,703.40 and 2,916.90

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Solution

The fourth proportional to 3,135.60, 4,703.40 and 2,916.90 is: 4,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.60 : 4,703.40 = 2,916.90 : x
  2. Step 2: Convert to fraction form
    3,135.60/4,703.40 = 2,916.90/x
  3. Step 3: Cross multiply
    3,135.60x = 4,703.40 × 2,916.90
  4. Step 4: Simplify right side
    3,135.60x = 13,719,347.46
  5. Step 5: Solve for x
    x = 13,719,347.46/3,135.60
  6. Step 6: Final answer
    x = 4,375.35

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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.