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Finding the Fourth Proportional to 4,953.92, 6,842.40 and 3,919.68

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Solution

The fourth proportional to 4,953.92, 6,842.40 and 3,919.68 is: 5,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.92 : 6,842.40 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    4,953.92/6,842.40 = 3,919.68/x
  3. Step 3: Cross multiply
    4,953.92x = 6,842.40 × 3,919.68
  4. Step 4: Simplify right side
    4,953.92x = 26,820,018.43
  5. Step 5: Solve for x
    x = 26,820,018.43/4,953.92
  6. Step 6: Final answer
    x = 5,413.90

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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.