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Finding the Fourth Proportional to 7,809.84, 10,782.78 and 4,624.17

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Solution

The fourth proportional to 7,809.84, 10,782.78 and 4,624.17 is: 6,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.84 : 10,782.78 = 4,624.17 : x
  2. Step 2: Convert to fraction form
    7,809.84/10,782.78 = 4,624.17/x
  3. Step 3: Cross multiply
    7,809.84x = 10,782.78 × 4,624.17
  4. Step 4: Simplify right side
    7,809.84x = 49,861,407.79
  5. Step 5: Solve for x
    x = 49,861,407.79/7,809.84
  6. Step 6: Final answer
    x = 6,384.43

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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.