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Finding the Fourth Proportional to 9,881.90, 13,637.03 and 7,366.22

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Solution

The fourth proportional to 9,881.90, 13,637.03 and 7,366.22 is: 10,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.90 : 13,637.03 = 7,366.22 : x
  2. Step 2: Convert to fraction form
    9,881.90/13,637.03 = 7,366.22/x
  3. Step 3: Cross multiply
    9,881.90x = 13,637.03 × 7,366.22
  4. Step 4: Simplify right side
    9,881.90x = 100,453,258.11
  5. Step 5: Solve for x
    x = 100,453,258.11/9,881.90
  6. Step 6: Final answer
    x = 10,165.38

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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.