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Finding the Fourth Proportional to 7,003.51, 9,664.84 and 3,816.80

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Solution

The fourth proportional to 7,003.51, 9,664.84 and 3,816.80 is: 5,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.51 : 9,664.84 = 3,816.80 : x
  2. Step 2: Convert to fraction form
    7,003.51/9,664.84 = 3,816.80/x
  3. Step 3: Cross multiply
    7,003.51x = 9,664.84 × 3,816.80
  4. Step 4: Simplify right side
    7,003.51x = 36,888,813.14
  5. Step 5: Solve for x
    x = 36,888,813.14/7,003.51
  6. Step 6: Final answer
    x = 5,267.19

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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.