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Finding the Fourth Proportional to 7,143.06, 9,857.46 and 3,956.46

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Solution

The fourth proportional to 7,143.06, 9,857.46 and 3,956.46 is: 5,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.06 : 9,857.46 = 3,956.46 : x
  2. Step 2: Convert to fraction form
    7,143.06/9,857.46 = 3,956.46/x
  3. Step 3: Cross multiply
    7,143.06x = 9,857.46 × 3,956.46
  4. Step 4: Simplify right side
    7,143.06x = 39,000,596.90
  5. Step 5: Solve for x
    x = 39,000,596.90/7,143.06
  6. Step 6: Final answer
    x = 5,459.93

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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.