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Finding the Fourth Proportional to 5,277.14, 7,916.81 and 1,990.20

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Solution

The fourth proportional to 5,277.14, 7,916.81 and 1,990.20 is: 2,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.14 : 7,916.81 = 1,990.20 : x
  2. Step 2: Convert to fraction form
    5,277.14/7,916.81 = 1,990.20/x
  3. Step 3: Cross multiply
    5,277.14x = 7,916.81 × 1,990.20
  4. Step 4: Simplify right side
    5,277.14x = 15,756,004.99
  5. Step 5: Solve for x
    x = 15,756,004.99/5,277.14
  6. Step 6: Final answer
    x = 2,985.71

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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.