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Finding the Fourth Proportional to 15,161.84, 20,923.07 and 8,356.08

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Solution

The fourth proportional to 15,161.84, 20,923.07 and 8,356.08 is: 11,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.84 : 20,923.07 = 8,356.08 : x
  2. Step 2: Convert to fraction form
    15,161.84/20,923.07 = 8,356.08/x
  3. Step 3: Cross multiply
    15,161.84x = 20,923.07 × 8,356.08
  4. Step 4: Simplify right side
    15,161.84x = 174,834,846.77
  5. Step 5: Solve for x
    x = 174,834,846.77/15,161.84
  6. Step 6: Final answer
    x = 11,531.24

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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.