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Finding the Fourth Proportional to 20,988, 31,485.60 and 9,141.12

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Solution

The fourth proportional to 20,988, 31,485.60 and 9,141.12 is: 13,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 31,485.60 = 9,141.12 : x
  2. Step 2: Convert to fraction form
    20,988/31,485.60 = 9,141.12/x
  3. Step 3: Cross multiply
    20,988x = 31,485.60 × 9,141.12
  4. Step 4: Simplify right side
    20,988x = 287,813,647.87
  5. Step 5: Solve for x
    x = 287,813,647.87/20,988
  6. Step 6: Final answer
    x = 13,713.25

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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.