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Finding the Fourth Proportional to 19,931, 29,909.46 and 7,619

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Solution

The fourth proportional to 19,931, 29,909.46 and 7,619 is: 11,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931 : 29,909.46 = 7,619 : x
  2. Step 2: Convert to fraction form
    19,931/29,909.46 = 7,619/x
  3. Step 3: Cross multiply
    19,931x = 29,909.46 × 7,619
  4. Step 4: Simplify right side
    19,931x = 227,880,175.74
  5. Step 5: Solve for x
    x = 227,880,175.74/19,931
  6. Step 6: Final answer
    x = 11,433.45

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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.