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Finding the Fourth Proportional to 15,162.16, 20,919.36 and 9,852.16

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Solution

The fourth proportional to 15,162.16, 20,919.36 and 9,852.16 is: 13,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.16 : 20,919.36 = 9,852.16 : x
  2. Step 2: Convert to fraction form
    15,162.16/20,919.36 = 9,852.16/x
  3. Step 3: Cross multiply
    15,162.16x = 20,919.36 × 9,852.16
  4. Step 4: Simplify right side
    15,162.16x = 206,100,881.82
  5. Step 5: Solve for x
    x = 206,100,881.82/15,162.16
  6. Step 6: Final answer
    x = 13,593.11

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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.