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Finding the Fourth Proportional to 19,143, 28,716.12 and 5,292

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Solution

The fourth proportional to 19,143, 28,716.12 and 5,292 is: 7,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 28,716.12 = 5,292 : x
  2. Step 2: Convert to fraction form
    19,143/28,716.12 = 5,292/x
  3. Step 3: Cross multiply
    19,143x = 28,716.12 × 5,292
  4. Step 4: Simplify right side
    19,143x = 151,965,707.04
  5. Step 5: Solve for x
    x = 151,965,707.04/19,143
  6. Step 6: Final answer
    x = 7,938.45

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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.