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Finding the Fourth Proportional to 2,292, 3,162.96 and 1,360.68

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Solution

The fourth proportional to 2,292, 3,162.96 and 1,360.68 is: 1,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292 : 3,162.96 = 1,360.68 : x
  2. Step 2: Convert to fraction form
    2,292/3,162.96 = 1,360.68/x
  3. Step 3: Cross multiply
    2,292x = 3,162.96 × 1,360.68
  4. Step 4: Simplify right side
    2,292x = 4,303,776.41
  5. Step 5: Solve for x
    x = 4,303,776.41/2,292
  6. Step 6: Final answer
    x = 1,877.74

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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.