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Finding the Fourth Proportional to 7,768.80, 10,721.04 and 4,624.38

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Solution

The fourth proportional to 7,768.80, 10,721.04 and 4,624.38 is: 6,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.80 : 10,721.04 = 4,624.38 : x
  2. Step 2: Convert to fraction form
    7,768.80/10,721.04 = 4,624.38/x
  3. Step 3: Cross multiply
    7,768.80x = 10,721.04 × 4,624.38
  4. Step 4: Simplify right side
    7,768.80x = 49,578,162.96
  5. Step 5: Solve for x
    x = 49,578,162.96/7,768.80
  6. Step 6: Final answer
    x = 6,381.70

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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.