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Finding the Fourth Proportional to 19,991.34, 29,982.84 and 7,510.86

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Solution

The fourth proportional to 19,991.34, 29,982.84 and 7,510.86 is: 11,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.34 : 29,982.84 = 7,510.86 : x
  2. Step 2: Convert to fraction form
    19,991.34/29,982.84 = 7,510.86/x
  3. Step 3: Cross multiply
    19,991.34x = 29,982.84 × 7,510.86
  4. Step 4: Simplify right side
    19,991.34x = 225,196,913.64
  5. Step 5: Solve for x
    x = 225,196,913.64/19,991.34
  6. Step 6: Final answer
    x = 11,264.72

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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.