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Finding the Fourth Proportional to 4,747.15, 7,111.54 and 2,892.93

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Solution

The fourth proportional to 4,747.15, 7,111.54 and 2,892.93 is: 4,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.15 : 7,111.54 = 2,892.93 : x
  2. Step 2: Convert to fraction form
    4,747.15/7,111.54 = 2,892.93/x
  3. Step 3: Cross multiply
    4,747.15x = 7,111.54 × 2,892.93
  4. Step 4: Simplify right side
    4,747.15x = 20,573,187.41
  5. Step 5: Solve for x
    x = 20,573,187.41/4,747.15
  6. Step 6: Final answer
    x = 4,333.80

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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.