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Finding the Fourth Proportional to 19,980.54, 29,975.40 and 9,991.08

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Solution

The fourth proportional to 19,980.54, 29,975.40 and 9,991.08 is: 14,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.54 : 29,975.40 = 9,991.08 : x
  2. Step 2: Convert to fraction form
    19,980.54/29,975.40 = 9,991.08/x
  3. Step 3: Cross multiply
    19,980.54x = 29,975.40 × 9,991.08
  4. Step 4: Simplify right side
    19,980.54x = 299,486,619.43
  5. Step 5: Solve for x
    x = 299,486,619.43/19,980.54
  6. Step 6: Final answer
    x = 14,988.92

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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.