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Finding the Fourth Proportional to 19,990.84, 29,941.13 and 11,658.37

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Solution

The fourth proportional to 19,990.84, 29,941.13 and 11,658.37 is: 17,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.84 : 29,941.13 = 11,658.37 : x
  2. Step 2: Convert to fraction form
    19,990.84/29,941.13 = 11,658.37/x
  3. Step 3: Cross multiply
    19,990.84x = 29,941.13 × 11,658.37
  4. Step 4: Simplify right side
    19,990.84x = 349,064,622.05
  5. Step 5: Solve for x
    x = 349,064,622.05/19,990.84
  6. Step 6: Final answer
    x = 17,461.23

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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.