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Finding the Fourth Proportional to 3,777.81, 5,666.13 and 1,930.29

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Solution

The fourth proportional to 3,777.81, 5,666.13 and 1,930.29 is: 2,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.81 : 5,666.13 = 1,930.29 : x
  2. Step 2: Convert to fraction form
    3,777.81/5,666.13 = 1,930.29/x
  3. Step 3: Cross multiply
    3,777.81x = 5,666.13 × 1,930.29
  4. Step 4: Simplify right side
    3,777.81x = 10,937,274.08
  5. Step 5: Solve for x
    x = 10,937,274.08/3,777.81
  6. Step 6: Final answer
    x = 2,895.14

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1.5x scale

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.