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Finding the Fourth Proportional to 1,748.81, 2,621.08 and 823.14

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Solution

The fourth proportional to 1,748.81, 2,621.08 and 823.14 is: 1,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.81 : 2,621.08 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,748.81/2,621.08 = 823.14/x
  3. Step 3: Cross multiply
    1,748.81x = 2,621.08 × 823.14
  4. Step 4: Simplify right side
    1,748.81x = 2,157,516.82
  5. Step 5: Solve for x
    x = 2,157,516.82/1,748.81
  6. Step 6: Final answer
    x = 1,233.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.