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Finding the Fourth Proportional to 4,915, 6,782.70 and 2,707

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Solution

The fourth proportional to 4,915, 6,782.70 and 2,707 is: 3,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915 : 6,782.70 = 2,707 : x
  2. Step 2: Convert to fraction form
    4,915/6,782.70 = 2,707/x
  3. Step 3: Cross multiply
    4,915x = 6,782.70 × 2,707
  4. Step 4: Simplify right side
    4,915x = 18,360,768.90
  5. Step 5: Solve for x
    x = 18,360,768.90/4,915
  6. Step 6: Final answer
    x = 3,735.66

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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.