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Finding the Fourth Proportional to 1,269.68, 1,752.06 and 971.13

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Solution

The fourth proportional to 1,269.68, 1,752.06 and 971.13 is: 1,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.68 : 1,752.06 = 971.13 : x
  2. Step 2: Convert to fraction form
    1,269.68/1,752.06 = 971.13/x
  3. Step 3: Cross multiply
    1,269.68x = 1,752.06 × 971.13
  4. Step 4: Simplify right side
    1,269.68x = 1,701,478.03
  5. Step 5: Solve for x
    x = 1,701,478.03/1,269.68
  6. Step 6: Final answer
    x = 1,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.