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Finding the Fourth Proportional to 28,102, 42,155.43 and 7,325.50

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Solution

The fourth proportional to 28,102, 42,155.43 and 7,325.50 is: 10,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102 : 42,155.43 = 7,325.50 : x
  2. Step 2: Convert to fraction form
    28,102/42,155.43 = 7,325.50/x
  3. Step 3: Cross multiply
    28,102x = 42,155.43 × 7,325.50
  4. Step 4: Simplify right side
    28,102x = 308,809,602.47
  5. Step 5: Solve for x
    x = 308,809,602.47/28,102
  6. Step 6: Final answer
    x = 10,988.88

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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.