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Finding the Fourth Proportional to 22,203.72, 30,642.30 and 12,773.70

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Solution

The fourth proportional to 22,203.72, 30,642.30 and 12,773.70 is: 17,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203.72 : 30,642.30 = 12,773.70 : x
  2. Step 2: Convert to fraction form
    22,203.72/30,642.30 = 12,773.70/x
  3. Step 3: Cross multiply
    22,203.72x = 30,642.30 × 12,773.70
  4. Step 4: Simplify right side
    22,203.72x = 391,415,547.51
  5. Step 5: Solve for x
    x = 391,415,547.51/22,203.72
  6. Step 6: Final answer
    x = 17,628.38

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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.