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Finding the Fourth Proportional to 1,775, 2,448.36 and 1,332.20

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Solution

The fourth proportional to 1,775, 2,448.36 and 1,332.20 is: 1,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775 : 2,448.36 = 1,332.20 : x
  2. Step 2: Convert to fraction form
    1,775/2,448.36 = 1,332.20/x
  3. Step 3: Cross multiply
    1,775x = 2,448.36 × 1,332.20
  4. Step 4: Simplify right side
    1,775x = 3,261,705.19
  5. Step 5: Solve for x
    x = 3,261,705.19/1,775
  6. Step 6: Final answer
    x = 1,837.58

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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.