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Finding the Fourth Proportional to 7,823.97, 10,762.06 and 6,862.15

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Solution

The fourth proportional to 7,823.97, 10,762.06 and 6,862.15 is: 9,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.97 : 10,762.06 = 6,862.15 : x
  2. Step 2: Convert to fraction form
    7,823.97/10,762.06 = 6,862.15/x
  3. Step 3: Cross multiply
    7,823.97x = 10,762.06 × 6,862.15
  4. Step 4: Simplify right side
    7,823.97x = 73,850,870.03
  5. Step 5: Solve for x
    x = 73,850,870.03/7,823.97
  6. Step 6: Final answer
    x = 9,439.05

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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.