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Finding the Fourth Proportional to 35,164.74, 48,530.64 and 21,017.28

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Solution

The fourth proportional to 35,164.74, 48,530.64 and 21,017.28 is: 29,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,164.74 : 48,530.64 = 21,017.28 : x
  2. Step 2: Convert to fraction form
    35,164.74/48,530.64 = 21,017.28/x
  3. Step 3: Cross multiply
    35,164.74x = 48,530.64 × 21,017.28
  4. Step 4: Simplify right side
    35,164.74x = 1,019,982,049.46
  5. Step 5: Solve for x
    x = 1,019,982,049.46/35,164.74
  6. Step 6: Final answer
    x = 29,005.82

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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.