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Finding the Fourth Proportional to 9,976, 13,767.84 and 5,560

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Solution

The fourth proportional to 9,976, 13,767.84 and 5,560 is: 7,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 13,767.84 = 5,560 : x
  2. Step 2: Convert to fraction form
    9,976/13,767.84 = 5,560/x
  3. Step 3: Cross multiply
    9,976x = 13,767.84 × 5,560
  4. Step 4: Simplify right side
    9,976x = 76,549,190.40
  5. Step 5: Solve for x
    x = 76,549,190.40/9,976
  6. Step 6: Final answer
    x = 7,673.34

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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.