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Finding the Fourth Proportional to 2,310.80, 3,465.39 and 666.90

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Solution

The fourth proportional to 2,310.80, 3,465.39 and 666.90 is: 1,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.80 : 3,465.39 = 666.90 : x
  2. Step 2: Convert to fraction form
    2,310.80/3,465.39 = 666.90/x
  3. Step 3: Cross multiply
    2,310.80x = 3,465.39 × 666.90
  4. Step 4: Simplify right side
    2,310.80x = 2,311,068.59
  5. Step 5: Solve for x
    x = 2,311,068.59/2,310.80
  6. Step 6: Final answer
    x = 1,000.12

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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.