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Finding the Fourth Proportional to 5,277.42, 7,916.13 and 1,381.86

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Solution

The fourth proportional to 5,277.42, 7,916.13 and 1,381.86 is: 2,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.42 : 7,916.13 = 1,381.86 : x
  2. Step 2: Convert to fraction form
    5,277.42/7,916.13 = 1,381.86/x
  3. Step 3: Cross multiply
    5,277.42x = 7,916.13 × 1,381.86
  4. Step 4: Simplify right side
    5,277.42x = 10,938,983.40
  5. Step 5: Solve for x
    x = 10,938,983.40/5,277.42
  6. Step 6: Final answer
    x = 2,072.79

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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.