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Finding the Fourth Proportional to 28,022.67, 42,039 and 9,303.84

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Solution

The fourth proportional to 28,022.67, 42,039 and 9,303.84 is: 13,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022.67 : 42,039 = 9,303.84 : x
  2. Step 2: Convert to fraction form
    28,022.67/42,039 = 9,303.84/x
  3. Step 3: Cross multiply
    28,022.67x = 42,039 × 9,303.84
  4. Step 4: Simplify right side
    28,022.67x = 391,124,129.76
  5. Step 5: Solve for x
    x = 391,124,129.76/28,022.67
  6. Step 6: Final answer
    x = 13,957.42

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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.