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Finding the Fourth Proportional to 2,078.22, 3,117.81 and 924.30

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Solution

The fourth proportional to 2,078.22, 3,117.81 and 924.30 is: 1,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.22 : 3,117.81 = 924.30 : x
  2. Step 2: Convert to fraction form
    2,078.22/3,117.81 = 924.30/x
  3. Step 3: Cross multiply
    2,078.22x = 3,117.81 × 924.30
  4. Step 4: Simplify right side
    2,078.22x = 2,881,791.78
  5. Step 5: Solve for x
    x = 2,881,791.78/2,078.22
  6. Step 6: Final answer
    x = 1,386.66

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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.