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Finding the Fourth Proportional to 15,878.91, 21,902.83 and 10,203.90

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Solution

The fourth proportional to 15,878.91, 21,902.83 and 10,203.90 is: 14,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.91 : 21,902.83 = 10,203.90 : x
  2. Step 2: Convert to fraction form
    15,878.91/21,902.83 = 10,203.90/x
  3. Step 3: Cross multiply
    15,878.91x = 21,902.83 × 10,203.90
  4. Step 4: Simplify right side
    15,878.91x = 223,494,287.04
  5. Step 5: Solve for x
    x = 223,494,287.04/15,878.91
  6. Step 6: Final answer
    x = 14,074.91

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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.