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Finding the Fourth Proportional to 19,888.84, 29,832.56 and 5,097.88

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Solution

The fourth proportional to 19,888.84, 29,832.56 and 5,097.88 is: 7,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.84 : 29,832.56 = 5,097.88 : x
  2. Step 2: Convert to fraction form
    19,888.84/29,832.56 = 5,097.88/x
  3. Step 3: Cross multiply
    19,888.84x = 29,832.56 × 5,097.88
  4. Step 4: Simplify right side
    19,888.84x = 152,082,810.97
  5. Step 5: Solve for x
    x = 152,082,810.97/19,888.84
  6. Step 6: Final answer
    x = 7,646.64

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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.