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Finding the Fourth Proportional to 7,859.20, 10,842.06 and 4,709.92

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Solution

The fourth proportional to 7,859.20, 10,842.06 and 4,709.92 is: 6,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.20 : 10,842.06 = 4,709.92 : x
  2. Step 2: Convert to fraction form
    7,859.20/10,842.06 = 4,709.92/x
  3. Step 3: Cross multiply
    7,859.20x = 10,842.06 × 4,709.92
  4. Step 4: Simplify right side
    7,859.20x = 51,065,235.24
  5. Step 5: Solve for x
    x = 51,065,235.24/7,859.20
  6. Step 6: Final answer
    x = 6,497.51

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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.