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Finding the Fourth Proportional to 10,101.11, 13,918.37 and 9,400.32

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Solution

The fourth proportional to 10,101.11, 13,918.37 and 9,400.32 is: 12,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.11 : 13,918.37 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    10,101.11/13,918.37 = 9,400.32/x
  3. Step 3: Cross multiply
    10,101.11x = 13,918.37 × 9,400.32
  4. Step 4: Simplify right side
    10,101.11x = 130,837,084.88
  5. Step 5: Solve for x
    x = 130,837,084.88/10,101.11
  6. Step 6: Final answer
    x = 12,952.75

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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.