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Finding the Fourth Proportional to 9,881, 13,635.78 and 5,465

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Solution

The fourth proportional to 9,881, 13,635.78 and 5,465 is: 7,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881 : 13,635.78 = 5,465 : x
  2. Step 2: Convert to fraction form
    9,881/13,635.78 = 5,465/x
  3. Step 3: Cross multiply
    9,881x = 13,635.78 × 5,465
  4. Step 4: Simplify right side
    9,881x = 74,519,537.70
  5. Step 5: Solve for x
    x = 74,519,537.70/9,881
  6. Step 6: Final answer
    x = 7,541.70

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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.