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Finding the Fourth Proportional to 3,776.47, 5,211.47 and 2,097.81

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Solution

The fourth proportional to 3,776.47, 5,211.47 and 2,097.81 is: 2,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.47 : 5,211.47 = 2,097.81 : x
  2. Step 2: Convert to fraction form
    3,776.47/5,211.47 = 2,097.81/x
  3. Step 3: Cross multiply
    3,776.47x = 5,211.47 × 2,097.81
  4. Step 4: Simplify right side
    3,776.47x = 10,932,679.13
  5. Step 5: Solve for x
    x = 10,932,679.13/3,776.47
  6. Step 6: Final answer
    x = 2,894.95

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1.5x scale

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.