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Finding the Fourth Proportional to 19,921.90, 29,878.07 and 5,878.13

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Solution

The fourth proportional to 19,921.90, 29,878.07 and 5,878.13 is: 8,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.90 : 29,878.07 = 5,878.13 : x
  2. Step 2: Convert to fraction form
    19,921.90/29,878.07 = 5,878.13/x
  3. Step 3: Cross multiply
    19,921.90x = 29,878.07 × 5,878.13
  4. Step 4: Simplify right side
    19,921.90x = 175,627,210.91
  5. Step 5: Solve for x
    x = 175,627,210.91/19,921.90
  6. Step 6: Final answer
    x = 8,815.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.