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Finding the Fourth Proportional to 7,178.58, 9,894.20 and 6,162.84

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Solution

The fourth proportional to 7,178.58, 9,894.20 and 6,162.84 is: 8,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.58 : 9,894.20 = 6,162.84 : x
  2. Step 2: Convert to fraction form
    7,178.58/9,894.20 = 6,162.84/x
  3. Step 3: Cross multiply
    7,178.58x = 9,894.20 × 6,162.84
  4. Step 4: Simplify right side
    7,178.58x = 60,976,340.71
  5. Step 5: Solve for x
    x = 60,976,340.71/7,178.58
  6. Step 6: Final answer
    x = 8,494.21

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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.