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Finding the Fourth Proportional to 10,001, 13,701.32 and 9,627.20

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Solution

The fourth proportional to 10,001, 13,701.32 and 9,627.20 is: 13,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 13,701.32 = 9,627.20 : x
  2. Step 2: Convert to fraction form
    10,001/13,701.32 = 9,627.20/x
  3. Step 3: Cross multiply
    10,001x = 13,701.32 × 9,627.20
  4. Step 4: Simplify right side
    10,001x = 131,905,347.90
  5. Step 5: Solve for x
    x = 131,905,347.90/10,001
  6. Step 6: Final answer
    x = 13,189.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.