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Finding the Fourth Proportional to 19,921, 29,883.36 and 5,881.08

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Solution

The fourth proportional to 19,921, 29,883.36 and 5,881.08 is: 8,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921 : 29,883.36 = 5,881.08 : x
  2. Step 2: Convert to fraction form
    19,921/29,883.36 = 5,881.08/x
  3. Step 3: Cross multiply
    19,921x = 29,883.36 × 5,881.08
  4. Step 4: Simplify right side
    19,921x = 175,746,430.83
  5. Step 5: Solve for x
    x = 175,746,430.83/19,921
  6. Step 6: Final answer
    x = 8,822.17

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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.