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Finding the Fourth Proportional to 20,980.98, 31,476.88 and 7,833.46

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Solution

The fourth proportional to 20,980.98, 31,476.88 and 7,833.46 is: 11,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.98 : 31,476.88 = 7,833.46 : x
  2. Step 2: Convert to fraction form
    20,980.98/31,476.88 = 7,833.46/x
  3. Step 3: Cross multiply
    20,980.98x = 31,476.88 × 7,833.46
  4. Step 4: Simplify right side
    20,980.98x = 246,572,880.40
  5. Step 5: Solve for x
    x = 246,572,880.40/20,980.98
  6. Step 6: Final answer
    x = 11,752.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.