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Finding the Fourth Proportional to 8,203.02, 12,359.90 and 6,774.18

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Solution

The fourth proportional to 8,203.02, 12,359.90 and 6,774.18 is: 10,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.02 : 12,359.90 = 6,774.18 : x
  2. Step 2: Convert to fraction form
    8,203.02/12,359.90 = 6,774.18/x
  3. Step 3: Cross multiply
    8,203.02x = 12,359.90 × 6,774.18
  4. Step 4: Simplify right side
    8,203.02x = 83,728,153.51
  5. Step 5: Solve for x
    x = 83,728,153.51/8,203.02
  6. Step 6: Final answer
    x = 10,206.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.