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Finding the Fourth Proportional to 5,402.78, 8,106.63 and 2,442

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Solution

The fourth proportional to 5,402.78, 8,106.63 and 2,442 is: 3,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.78 : 8,106.63 = 2,442 : x
  2. Step 2: Convert to fraction form
    5,402.78/8,106.63 = 2,442/x
  3. Step 3: Cross multiply
    5,402.78x = 8,106.63 × 2,442
  4. Step 4: Simplify right side
    5,402.78x = 19,796,390.46
  5. Step 5: Solve for x
    x = 19,796,390.46/5,402.78
  6. Step 6: Final answer
    x = 3,664.12

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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.