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Finding the Fourth Proportional to 3,140.40, 4,703.40 and 3,068.40

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Solution

The fourth proportional to 3,140.40, 4,703.40 and 3,068.40 is: 4,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.40 : 4,703.40 = 3,068.40 : x
  2. Step 2: Convert to fraction form
    3,140.40/4,703.40 = 3,068.40/x
  3. Step 3: Cross multiply
    3,140.40x = 4,703.40 × 3,068.40
  4. Step 4: Simplify right side
    3,140.40x = 14,431,912.56
  5. Step 5: Solve for x
    x = 14,431,912.56/3,140.40
  6. Step 6: Final answer
    x = 4,595.57

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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.