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Finding the Fourth Proportional to 9,881.10, 13,635.93 and 5,405.28

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Solution

The fourth proportional to 9,881.10, 13,635.93 and 5,405.28 is: 7,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.10 : 13,635.93 = 5,405.28 : x
  2. Step 2: Convert to fraction form
    9,881.10/13,635.93 = 5,405.28/x
  3. Step 3: Cross multiply
    9,881.10x = 13,635.93 × 5,405.28
  4. Step 4: Simplify right side
    9,881.10x = 73,706,019.71
  5. Step 5: Solve for x
    x = 73,706,019.71/9,881.10
  6. Step 6: Final answer
    x = 7,459.29

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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.