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Finding the Fourth Proportional to 8,210.97, 12,309.08 and 7,963.11

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Solution

The fourth proportional to 8,210.97, 12,309.08 and 7,963.11 is: 11,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.97 : 12,309.08 = 7,963.11 : x
  2. Step 2: Convert to fraction form
    8,210.97/12,309.08 = 7,963.11/x
  3. Step 3: Cross multiply
    8,210.97x = 12,309.08 × 7,963.11
  4. Step 4: Simplify right side
    8,210.97x = 98,018,518.22
  5. Step 5: Solve for x
    x = 98,018,518.22/8,210.97
  6. Step 6: Final answer
    x = 11,937.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.