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Finding the Fourth Proportional to 19,830.95, 29,737 and 11,513.52

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Solution

The fourth proportional to 19,830.95, 29,737 and 11,513.52 is: 17,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.95 : 29,737 = 11,513.52 : x
  2. Step 2: Convert to fraction form
    19,830.95/29,737 = 11,513.52/x
  3. Step 3: Cross multiply
    19,830.95x = 29,737 × 11,513.52
  4. Step 4: Simplify right side
    19,830.95x = 342,377,544.24
  5. Step 5: Solve for x
    x = 342,377,544.24/19,830.95
  6. Step 6: Final answer
    x = 17,264.81

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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.