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Finding the Fourth Proportional to 7,228.90, 9,976.10 and 4,085.28

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Solution

The fourth proportional to 7,228.90, 9,976.10 and 4,085.28 is: 5,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.90 : 9,976.10 = 4,085.28 : x
  2. Step 2: Convert to fraction form
    7,228.90/9,976.10 = 4,085.28/x
  3. Step 3: Cross multiply
    7,228.90x = 9,976.10 × 4,085.28
  4. Step 4: Simplify right side
    7,228.90x = 40,755,161.81
  5. Step 5: Solve for x
    x = 40,755,161.81/7,228.90
  6. Step 6: Final answer
    x = 5,637.81

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1.5x scale

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.