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Finding the Fourth Proportional to 19,013, 28,531.38 and 9,153.32

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Solution

The fourth proportional to 19,013, 28,531.38 and 9,153.32 is: 13,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013 : 28,531.38 = 9,153.32 : x
  2. Step 2: Convert to fraction form
    19,013/28,531.38 = 9,153.32/x
  3. Step 3: Cross multiply
    19,013x = 28,531.38 × 9,153.32
  4. Step 4: Simplify right side
    19,013x = 261,156,851.18
  5. Step 5: Solve for x
    x = 261,156,851.18/19,013
  6. Step 6: Final answer
    x = 13,735.70

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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.