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Finding the Fourth Proportional to 30,659.84, 45,978.24 and 10,933.04

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Solution

The fourth proportional to 30,659.84, 45,978.24 and 10,933.04 is: 16,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.84 : 45,978.24 = 10,933.04 : x
  2. Step 2: Convert to fraction form
    30,659.84/45,978.24 = 10,933.04/x
  3. Step 3: Cross multiply
    30,659.84x = 45,978.24 × 10,933.04
  4. Step 4: Simplify right side
    30,659.84x = 502,681,937.05
  5. Step 5: Solve for x
    x = 502,681,937.05/30,659.84
  6. Step 6: Final answer
    x = 16,395.45

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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.