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Finding the Fourth Proportional to 1,312.66, 1,971.72 and 1,107.62

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Solution

The fourth proportional to 1,312.66, 1,971.72 and 1,107.62 is: 1,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.66 : 1,971.72 = 1,107.62 : x
  2. Step 2: Convert to fraction form
    1,312.66/1,971.72 = 1,107.62/x
  3. Step 3: Cross multiply
    1,312.66x = 1,971.72 × 1,107.62
  4. Step 4: Simplify right side
    1,312.66x = 2,183,910.97
  5. Step 5: Solve for x
    x = 2,183,910.97/1,312.66
  6. Step 6: Final answer
    x = 1,663.74

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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.