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Finding the Fourth Proportional to 7,116.04, 9,820.62 and 3,972.16

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Solution

The fourth proportional to 7,116.04, 9,820.62 and 3,972.16 is: 5,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.04 : 9,820.62 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    7,116.04/9,820.62 = 3,972.16/x
  3. Step 3: Cross multiply
    7,116.04x = 9,820.62 × 3,972.16
  4. Step 4: Simplify right side
    7,116.04x = 39,009,073.94
  5. Step 5: Solve for x
    x = 39,009,073.94/7,116.04
  6. Step 6: Final answer
    x = 5,481.85

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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.