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Finding the Fourth Proportional to 19,746, 29,619.18 and 7,434

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Solution

The fourth proportional to 19,746, 29,619.18 and 7,434 is: 11,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 29,619.18 = 7,434 : x
  2. Step 2: Convert to fraction form
    19,746/29,619.18 = 7,434/x
  3. Step 3: Cross multiply
    19,746x = 29,619.18 × 7,434
  4. Step 4: Simplify right side
    19,746x = 220,188,984.12
  5. Step 5: Solve for x
    x = 220,188,984.12/19,746
  6. Step 6: Final answer
    x = 11,151.07

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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.