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Finding the Fourth Proportional to 19,990.98, 29,971.02 and 7,510.74

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Solution

The fourth proportional to 19,990.98, 29,971.02 and 7,510.74 is: 11,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.98 : 29,971.02 = 7,510.74 : x
  2. Step 2: Convert to fraction form
    19,990.98/29,971.02 = 7,510.74/x
  3. Step 3: Cross multiply
    19,990.98x = 29,971.02 × 7,510.74
  4. Step 4: Simplify right side
    19,990.98x = 225,104,538.75
  5. Step 5: Solve for x
    x = 225,104,538.75/19,990.98
  6. Step 6: Final answer
    x = 11,260.31

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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.