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Finding the Fourth Proportional to 7,842.99, 11,765.95 and 2,578.30

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Solution

The fourth proportional to 7,842.99, 11,765.95 and 2,578.30 is: 3,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.99 : 11,765.95 = 2,578.30 : x
  2. Step 2: Convert to fraction form
    7,842.99/11,765.95 = 2,578.30/x
  3. Step 3: Cross multiply
    7,842.99x = 11,765.95 × 2,578.30
  4. Step 4: Simplify right side
    7,842.99x = 30,336,113.02
  5. Step 5: Solve for x
    x = 30,336,113.02/7,842.99
  6. Step 6: Final answer
    x = 3,867.93

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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.