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Finding the Fourth Proportional to 7,119.77, 9,826.19 and 4,288.62

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Solution

The fourth proportional to 7,119.77, 9,826.19 and 4,288.62 is: 5,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.77 : 9,826.19 = 4,288.62 : x
  2. Step 2: Convert to fraction form
    7,119.77/9,826.19 = 4,288.62/x
  3. Step 3: Cross multiply
    7,119.77x = 9,826.19 × 4,288.62
  4. Step 4: Simplify right side
    7,119.77x = 42,140,794.96
  5. Step 5: Solve for x
    x = 42,140,794.96/7,119.77
  6. Step 6: Final answer
    x = 5,918.84

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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.