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Finding the Fourth Proportional to 7,089.84, 10,632.84 and 2,158.15

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Solution

The fourth proportional to 7,089.84, 10,632.84 and 2,158.15 is: 3,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.84 : 10,632.84 = 2,158.15 : x
  2. Step 2: Convert to fraction form
    7,089.84/10,632.84 = 2,158.15/x
  3. Step 3: Cross multiply
    7,089.84x = 10,632.84 × 2,158.15
  4. Step 4: Simplify right side
    7,089.84x = 22,947,263.65
  5. Step 5: Solve for x
    x = 22,947,263.65/7,089.84
  6. Step 6: Final answer
    x = 3,236.64

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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.