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Finding the Fourth Proportional to 15,797.40, 23,731.30 and 13,205.40

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Solution

The fourth proportional to 15,797.40, 23,731.30 and 13,205.40 is: 19,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.40 : 23,731.30 = 13,205.40 : x
  2. Step 2: Convert to fraction form
    15,797.40/23,731.30 = 13,205.40/x
  3. Step 3: Cross multiply
    15,797.40x = 23,731.30 × 13,205.40
  4. Step 4: Simplify right side
    15,797.40x = 313,381,309.02
  5. Step 5: Solve for x
    x = 313,381,309.02/15,797.40
  6. Step 6: Final answer
    x = 19,837.52

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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.