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Finding the Fourth Proportional to 15,872, 21,873.16 and 11,624.36

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Solution

The fourth proportional to 15,872, 21,873.16 and 11,624.36 is: 16,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 21,873.16 = 11,624.36 : x
  2. Step 2: Convert to fraction form
    15,872/21,873.16 = 11,624.36/x
  3. Step 3: Cross multiply
    15,872x = 21,873.16 × 11,624.36
  4. Step 4: Simplify right side
    15,872x = 254,261,486.18
  5. Step 5: Solve for x
    x = 254,261,486.18/15,872
  6. Step 6: Final answer
    x = 16,019.50

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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.