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Finding the Fourth Proportional to 4,911.85, 7,365 and 4,328.17

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Solution

The fourth proportional to 4,911.85, 7,365 and 4,328.17 is: 6,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.85 : 7,365 = 4,328.17 : x
  2. Step 2: Convert to fraction form
    4,911.85/7,365 = 4,328.17/x
  3. Step 3: Cross multiply
    4,911.85x = 7,365 × 4,328.17
  4. Step 4: Simplify right side
    4,911.85x = 31,876,972.05
  5. Step 5: Solve for x
    x = 31,876,972.05/4,911.85
  6. Step 6: Final answer
    x = 6,489.81

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1.5x scale

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.