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Finding the Fourth Proportional to 1,293.48, 1,947.90 and 1,164.99

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Solution

The fourth proportional to 1,293.48, 1,947.90 and 1,164.99 is: 1,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.48 : 1,947.90 = 1,164.99 : x
  2. Step 2: Convert to fraction form
    1,293.48/1,947.90 = 1,164.99/x
  3. Step 3: Cross multiply
    1,293.48x = 1,947.90 × 1,164.99
  4. Step 4: Simplify right side
    1,293.48x = 2,269,284.02
  5. Step 5: Solve for x
    x = 2,269,284.02/1,293.48
  6. Step 6: Final answer
    x = 1,754.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.