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Finding the Fourth Proportional to 4,903.88, 6,767.42 and 2,808

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Solution

The fourth proportional to 4,903.88, 6,767.42 and 2,808 is: 3,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.88 : 6,767.42 = 2,808 : x
  2. Step 2: Convert to fraction form
    4,903.88/6,767.42 = 2,808/x
  3. Step 3: Cross multiply
    4,903.88x = 6,767.42 × 2,808
  4. Step 4: Simplify right side
    4,903.88x = 19,002,901.32
  5. Step 5: Solve for x
    x = 19,002,901.32/4,903.88
  6. Step 6: Final answer
    x = 3,875.08

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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.