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Finding the Fourth Proportional to 5,174.39, 7,746.54 and 4,640.10

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Solution

The fourth proportional to 5,174.39, 7,746.54 and 4,640.10 is: 6,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.39 : 7,746.54 = 4,640.10 : x
  2. Step 2: Convert to fraction form
    5,174.39/7,746.54 = 4,640.10/x
  3. Step 3: Cross multiply
    5,174.39x = 7,746.54 × 4,640.10
  4. Step 4: Simplify right side
    5,174.39x = 35,944,673.80
  5. Step 5: Solve for x
    x = 35,944,673.80/5,174.39
  6. Step 6: Final answer
    x = 6,946.65

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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.