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Finding the Fourth Proportional to 7,806.30, 10,776.41 and 4,823.88

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Solution

The fourth proportional to 7,806.30, 10,776.41 and 4,823.88 is: 6,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.30 : 10,776.41 = 4,823.88 : x
  2. Step 2: Convert to fraction form
    7,806.30/10,776.41 = 4,823.88/x
  3. Step 3: Cross multiply
    7,806.30x = 10,776.41 × 4,823.88
  4. Step 4: Simplify right side
    7,806.30x = 51,984,108.67
  5. Step 5: Solve for x
    x = 51,984,108.67/7,806.30
  6. Step 6: Final answer
    x = 6,659.25

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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.