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Finding the Fourth Proportional to 9,858.14, 13,603.66 and 5,381

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Solution

The fourth proportional to 9,858.14, 13,603.66 and 5,381 is: 7,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.14 : 13,603.66 = 5,381 : x
  2. Step 2: Convert to fraction form
    9,858.14/13,603.66 = 5,381/x
  3. Step 3: Cross multiply
    9,858.14x = 13,603.66 × 5,381
  4. Step 4: Simplify right side
    9,858.14x = 73,201,294.46
  5. Step 5: Solve for x
    x = 73,201,294.46/9,858.14
  6. Step 6: Final answer
    x = 7,425.47

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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.