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Finding the Fourth Proportional to 5,285.96, 7,294.54 and 2,928.05

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Solution

The fourth proportional to 5,285.96, 7,294.54 and 2,928.05 is: 4,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.96 : 7,294.54 = 2,928.05 : x
  2. Step 2: Convert to fraction form
    5,285.96/7,294.54 = 2,928.05/x
  3. Step 3: Cross multiply
    5,285.96x = 7,294.54 × 2,928.05
  4. Step 4: Simplify right side
    5,285.96x = 21,358,777.85
  5. Step 5: Solve for x
    x = 21,358,777.85/5,285.96
  6. Step 6: Final answer
    x = 4,040.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.