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Finding the Fourth Proportional to 2,264, 3,129.55 and 1,888.79

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Solution

The fourth proportional to 2,264, 3,129.55 and 1,888.79 is: 2,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264 : 3,129.55 = 1,888.79 : x
  2. Step 2: Convert to fraction form
    2,264/3,129.55 = 1,888.79/x
  3. Step 3: Cross multiply
    2,264x = 3,129.55 × 1,888.79
  4. Step 4: Simplify right side
    2,264x = 5,911,062.74
  5. Step 5: Solve for x
    x = 5,911,062.74/2,264
  6. Step 6: Final answer
    x = 2,610.89

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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.