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Finding the Fourth Proportional to 13,283.76, 19,920 and 5,883

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Solution

The fourth proportional to 13,283.76, 19,920 and 5,883 is: 8,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.76 : 19,920 = 5,883 : x
  2. Step 2: Convert to fraction form
    13,283.76/19,920 = 5,883/x
  3. Step 3: Cross multiply
    13,283.76x = 19,920 × 5,883
  4. Step 4: Simplify right side
    13,283.76x = 117,189,360
  5. Step 5: Solve for x
    x = 117,189,360/13,283.76
  6. Step 6: Final answer
    x = 8,822.00

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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.