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Finding the Fourth Proportional to 4,853, 6,697.14 and 2,645

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Solution

The fourth proportional to 4,853, 6,697.14 and 2,645 is: 3,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853 : 6,697.14 = 2,645 : x
  2. Step 2: Convert to fraction form
    4,853/6,697.14 = 2,645/x
  3. Step 3: Cross multiply
    4,853x = 6,697.14 × 2,645
  4. Step 4: Simplify right side
    4,853x = 17,713,935.30
  5. Step 5: Solve for x
    x = 17,713,935.30/4,853
  6. Step 6: Final answer
    x = 3,650.10

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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.