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Finding the Fourth Proportional to 19,159.46, 28,738.01 and 7,149.28

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Solution

The fourth proportional to 19,159.46, 28,738.01 and 7,149.28 is: 10,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,159.46 : 28,738.01 = 7,149.28 : x
  2. Step 2: Convert to fraction form
    19,159.46/28,738.01 = 7,149.28/x
  3. Step 3: Cross multiply
    19,159.46x = 28,738.01 × 7,149.28
  4. Step 4: Simplify right side
    19,159.46x = 205,455,999.22
  5. Step 5: Solve for x
    x = 205,455,999.22/19,159.46
  6. Step 6: Final answer
    x = 10,723.47

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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.