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Finding the Fourth Proportional to 2,310.52, 3,465.06 and 666.62

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Solution

The fourth proportional to 2,310.52, 3,465.06 and 666.62 is: 999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.52 : 3,465.06 = 666.62 : x
  2. Step 2: Convert to fraction form
    2,310.52/3,465.06 = 666.62/x
  3. Step 3: Cross multiply
    2,310.52x = 3,465.06 × 666.62
  4. Step 4: Simplify right side
    2,310.52x = 2,309,878.30
  5. Step 5: Solve for x
    x = 2,309,878.30/2,310.52
  6. Step 6: Final answer
    x = 999.72

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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.