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Finding the Fourth Proportional to 1,293.88, 1,784.80 and 1,207.48

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Solution

The fourth proportional to 1,293.88, 1,784.80 and 1,207.48 is: 1,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.88 : 1,784.80 = 1,207.48 : x
  2. Step 2: Convert to fraction form
    1,293.88/1,784.80 = 1,207.48/x
  3. Step 3: Cross multiply
    1,293.88x = 1,784.80 × 1,207.48
  4. Step 4: Simplify right side
    1,293.88x = 2,155,110.30
  5. Step 5: Solve for x
    x = 2,155,110.30/1,293.88
  6. Step 6: Final answer
    x = 1,665.62

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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.