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Finding the Fourth Proportional to 15,878.31, 21,912.54 and 9,164.22

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Solution

The fourth proportional to 15,878.31, 21,912.54 and 9,164.22 is: 12,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.31 : 21,912.54 = 9,164.22 : x
  2. Step 2: Convert to fraction form
    15,878.31/21,912.54 = 9,164.22/x
  3. Step 3: Cross multiply
    15,878.31x = 21,912.54 × 9,164.22
  4. Step 4: Simplify right side
    15,878.31x = 200,811,337.32
  5. Step 5: Solve for x
    x = 200,811,337.32/15,878.31
  6. Step 6: Final answer
    x = 12,646.90

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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.