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Finding the Fourth Proportional to 1,786.65, 2,460.51 and 1,748.49

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Solution

The fourth proportional to 1,786.65, 2,460.51 and 1,748.49 is: 2,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.65 : 2,460.51 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    1,786.65/2,460.51 = 1,748.49/x
  3. Step 3: Cross multiply
    1,786.65x = 2,460.51 × 1,748.49
  4. Step 4: Simplify right side
    1,786.65x = 4,302,177.13
  5. Step 5: Solve for x
    x = 4,302,177.13/1,786.65
  6. Step 6: Final answer
    x = 2,407.96

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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.