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Finding the Fourth Proportional to 7,812.84, 10,777.68 and 4,624.32

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Solution

The fourth proportional to 7,812.84, 10,777.68 and 4,624.32 is: 6,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.84 : 10,777.68 = 4,624.32 : x
  2. Step 2: Convert to fraction form
    7,812.84/10,777.68 = 4,624.32/x
  3. Step 3: Cross multiply
    7,812.84x = 10,777.68 × 4,624.32
  4. Step 4: Simplify right side
    7,812.84x = 49,839,441.18
  5. Step 5: Solve for x
    x = 49,839,441.18/7,812.84
  6. Step 6: Final answer
    x = 6,379.17

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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.