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Finding the Fourth Proportional to 7,116.29, 9,820.48 and 3,972.48

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Solution

The fourth proportional to 7,116.29, 9,820.48 and 3,972.48 is: 5,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.29 : 9,820.48 = 3,972.48 : x
  2. Step 2: Convert to fraction form
    7,116.29/9,820.48 = 3,972.48/x
  3. Step 3: Cross multiply
    7,116.29x = 9,820.48 × 3,972.48
  4. Step 4: Simplify right side
    7,116.29x = 39,011,682.06
  5. Step 5: Solve for x
    x = 39,011,682.06/7,116.29
  6. Step 6: Final answer
    x = 5,482.02

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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.