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Finding the Fourth Proportional to 6,752.51, 9,317.75 and 3,920.82

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Solution

The fourth proportional to 6,752.51, 9,317.75 and 3,920.82 is: 5,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.51 : 9,317.75 = 3,920.82 : x
  2. Step 2: Convert to fraction form
    6,752.51/9,317.75 = 3,920.82/x
  3. Step 3: Cross multiply
    6,752.51x = 9,317.75 × 3,920.82
  4. Step 4: Simplify right side
    6,752.51x = 36,533,220.56
  5. Step 5: Solve for x
    x = 36,533,220.56/6,752.51
  6. Step 6: Final answer
    x = 5,410.32

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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.