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Finding the Fourth Proportional to 10,204.66, 15,305 and 2,807.22

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Solution

The fourth proportional to 10,204.66, 15,305 and 2,807.22 is: 4,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.66 : 15,305 = 2,807.22 : x
  2. Step 2: Convert to fraction form
    10,204.66/15,305 = 2,807.22/x
  3. Step 3: Cross multiply
    10,204.66x = 15,305 × 2,807.22
  4. Step 4: Simplify right side
    10,204.66x = 42,964,502.10
  5. Step 5: Solve for x
    x = 42,964,502.10/10,204.66
  6. Step 6: Final answer
    x = 4,210.28

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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.