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Finding the Fourth Proportional to 9,999, 13,798.62 and 5,583

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Solution

The fourth proportional to 9,999, 13,798.62 and 5,583 is: 7,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 13,798.62 = 5,583 : x
  2. Step 2: Convert to fraction form
    9,999/13,798.62 = 5,583/x
  3. Step 3: Cross multiply
    9,999x = 13,798.62 × 5,583
  4. Step 4: Simplify right side
    9,999x = 77,037,695.46
  5. Step 5: Solve for x
    x = 77,037,695.46/9,999
  6. Step 6: Final answer
    x = 7,704.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.