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Finding the Fourth Proportional to 19,983.03, 29,978.19 and 10,627.53

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Solution

The fourth proportional to 19,983.03, 29,978.19 and 10,627.53 is: 15,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.03 : 29,978.19 = 10,627.53 : x
  2. Step 2: Convert to fraction form
    19,983.03/29,978.19 = 10,627.53/x
  3. Step 3: Cross multiply
    19,983.03x = 29,978.19 × 10,627.53
  4. Step 4: Simplify right side
    19,983.03x = 318,594,113.57
  5. Step 5: Solve for x
    x = 318,594,113.57/19,983.03
  6. Step 6: Final answer
    x = 15,943.23

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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.