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Finding the Fourth Proportional to 30,108.40, 45,163.81 and 7,924.02

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Solution

The fourth proportional to 30,108.40, 45,163.81 and 7,924.02 is: 11,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108.40 : 45,163.81 = 7,924.02 : x
  2. Step 2: Convert to fraction form
    30,108.40/45,163.81 = 7,924.02/x
  3. Step 3: Cross multiply
    30,108.40x = 45,163.81 × 7,924.02
  4. Step 4: Simplify right side
    30,108.40x = 357,878,933.72
  5. Step 5: Solve for x
    x = 357,878,933.72/30,108.40
  6. Step 6: Final answer
    x = 11,886.35

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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.