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Finding the Fourth Proportional to 28,433.40, 42,661.10 and 11,789.16

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Solution

The fourth proportional to 28,433.40, 42,661.10 and 11,789.16 is: 17,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,433.40 : 42,661.10 = 11,789.16 : x
  2. Step 2: Convert to fraction form
    28,433.40/42,661.10 = 11,789.16/x
  3. Step 3: Cross multiply
    28,433.40x = 42,661.10 × 11,789.16
  4. Step 4: Simplify right side
    28,433.40x = 502,938,474.73
  5. Step 5: Solve for x
    x = 502,938,474.73/28,433.40
  6. Step 6: Final answer
    x = 17,688.30

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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.