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Finding the Fourth Proportional to 4,916.40, 6,785.40 and 3,523.76

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Solution

The fourth proportional to 4,916.40, 6,785.40 and 3,523.76 is: 4,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.40 : 6,785.40 = 3,523.76 : x
  2. Step 2: Convert to fraction form
    4,916.40/6,785.40 = 3,523.76/x
  3. Step 3: Cross multiply
    4,916.40x = 6,785.40 × 3,523.76
  4. Step 4: Simplify right side
    4,916.40x = 23,910,121.10
  5. Step 5: Solve for x
    x = 23,910,121.10/4,916.40
  6. Step 6: Final answer
    x = 4,863.34

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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.