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Finding the Fourth Proportional to 28,223.44, 42,335.52 and 19,456

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Solution

The fourth proportional to 28,223.44, 42,335.52 and 19,456 is: 29,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,223.44 : 42,335.52 = 19,456 : x
  2. Step 2: Convert to fraction form
    28,223.44/42,335.52 = 19,456/x
  3. Step 3: Cross multiply
    28,223.44x = 42,335.52 × 19,456
  4. Step 4: Simplify right side
    28,223.44x = 823,679,877.12
  5. Step 5: Solve for x
    x = 823,679,877.12/28,223.44
  6. Step 6: Final answer
    x = 29,184.25

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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.