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Finding the Fourth Proportional to 28,102.12, 42,153.18 and 7,324

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Solution

The fourth proportional to 28,102.12, 42,153.18 and 7,324 is: 10,986

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.12 : 42,153.18 = 7,324 : x
  2. Step 2: Convert to fraction form
    28,102.12/42,153.18 = 7,324/x
  3. Step 3: Cross multiply
    28,102.12x = 42,153.18 × 7,324
  4. Step 4: Simplify right side
    28,102.12x = 308,729,890.32
  5. Step 5: Solve for x
    x = 308,729,890.32/28,102.12
  6. Step 6: Final answer
    x = 10,986

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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.