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Finding the Fourth Proportional to 7,142.80, 9,856.93 and 3,956.02

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Solution

The fourth proportional to 7,142.80, 9,856.93 and 3,956.02 is: 5,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.80 : 9,856.93 = 3,956.02 : x
  2. Step 2: Convert to fraction form
    7,142.80/9,856.93 = 3,956.02/x
  3. Step 3: Cross multiply
    7,142.80x = 9,856.93 × 3,956.02
  4. Step 4: Simplify right side
    7,142.80x = 38,994,239.23
  5. Step 5: Solve for x
    x = 38,994,239.23/7,142.80
  6. Step 6: Final answer
    x = 5,459.23

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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.