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Finding the Fourth Proportional to 15,877.53, 21,911.99 and 9,164.39

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Solution

The fourth proportional to 15,877.53, 21,911.99 and 9,164.39 is: 12,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.53 : 21,911.99 = 9,164.39 : x
  2. Step 2: Convert to fraction form
    15,877.53/21,911.99 = 9,164.39/x
  3. Step 3: Cross multiply
    15,877.53x = 21,911.99 × 9,164.39
  4. Step 4: Simplify right side
    15,877.53x = 200,809,866.65
  5. Step 5: Solve for x
    x = 200,809,866.65/15,877.53
  6. Step 6: Final answer
    x = 12,647.42

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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.