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Finding the Fourth Proportional to 52,643.78, 72,649.38 and 28,772

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Solution

The fourth proportional to 52,643.78, 72,649.38 and 28,772 is: 39,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.78 : 72,649.38 = 28,772 : x
  2. Step 2: Convert to fraction form
    52,643.78/72,649.38 = 28,772/x
  3. Step 3: Cross multiply
    52,643.78x = 72,649.38 × 28,772
  4. Step 4: Simplify right side
    52,643.78x = 2,090,267,961.36
  5. Step 5: Solve for x
    x = 2,090,267,961.36/52,643.78
  6. Step 6: Final answer
    x = 39,705.89

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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.