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Finding the Fourth Proportional to 19,823.99, 29,736 and 5,972.99

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Solution

The fourth proportional to 19,823.99, 29,736 and 5,972.99 is: 8,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.99 : 29,736 = 5,972.99 : x
  2. Step 2: Convert to fraction form
    19,823.99/29,736 = 5,972.99/x
  3. Step 3: Cross multiply
    19,823.99x = 29,736 × 5,972.99
  4. Step 4: Simplify right side
    19,823.99x = 177,612,904.98
  5. Step 5: Solve for x
    x = 177,612,904.98/19,823.99
  6. Step 6: Final answer
    x = 8,959.49

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1.5x scale

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.