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Finding the Fourth Proportional to 4,871.16, 6,719.10 and 3,678

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Solution

The fourth proportional to 4,871.16, 6,719.10 and 3,678 is: 5,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.16 : 6,719.10 = 3,678 : x
  2. Step 2: Convert to fraction form
    4,871.16/6,719.10 = 3,678/x
  3. Step 3: Cross multiply
    4,871.16x = 6,719.10 × 3,678
  4. Step 4: Simplify right side
    4,871.16x = 24,712,849.80
  5. Step 5: Solve for x
    x = 24,712,849.80/4,871.16
  6. Step 6: Final answer
    x = 5,073.30

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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.