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Finding the Fourth Proportional to 6,137.80, 8,513.56 and 5,916.40

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Solution

The fourth proportional to 6,137.80, 8,513.56 and 5,916.40 is: 8,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.80 : 8,513.56 = 5,916.40 : x
  2. Step 2: Convert to fraction form
    6,137.80/8,513.56 = 5,916.40/x
  3. Step 3: Cross multiply
    6,137.80x = 8,513.56 × 5,916.40
  4. Step 4: Simplify right side
    6,137.80x = 50,369,626.38
  5. Step 5: Solve for x
    x = 50,369,626.38/6,137.80
  6. Step 6: Final answer
    x = 8,206.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.