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Finding the Fourth Proportional to 9,917, 13,685.46 and 5,501

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Solution

The fourth proportional to 9,917, 13,685.46 and 5,501 is: 7,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917 : 13,685.46 = 5,501 : x
  2. Step 2: Convert to fraction form
    9,917/13,685.46 = 5,501/x
  3. Step 3: Cross multiply
    9,917x = 13,685.46 × 5,501
  4. Step 4: Simplify right side
    9,917x = 75,283,715.46
  5. Step 5: Solve for x
    x = 75,283,715.46/9,917
  6. Step 6: Final answer
    x = 7,591.38

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1.5x scale

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.