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Finding the Fourth Proportional to 7,873.03, 11,816.84 and 3,980.17

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Solution

The fourth proportional to 7,873.03, 11,816.84 and 3,980.17 is: 5,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.03 : 11,816.84 = 3,980.17 : x
  2. Step 2: Convert to fraction form
    7,873.03/11,816.84 = 3,980.17/x
  3. Step 3: Cross multiply
    7,873.03x = 11,816.84 × 3,980.17
  4. Step 4: Simplify right side
    7,873.03x = 47,033,032.06
  5. Step 5: Solve for x
    x = 47,033,032.06/7,873.03
  6. Step 6: Final answer
    x = 5,973.94

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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.