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Finding the Fourth Proportional to 7,142.87, 9,857.73 and 5,263.04

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Solution

The fourth proportional to 7,142.87, 9,857.73 and 5,263.04 is: 7,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.87 : 9,857.73 = 5,263.04 : x
  2. Step 2: Convert to fraction form
    7,142.87/9,857.73 = 5,263.04/x
  3. Step 3: Cross multiply
    7,142.87x = 9,857.73 × 5,263.04
  4. Step 4: Simplify right side
    7,142.87x = 51,881,551.70
  5. Step 5: Solve for x
    x = 51,881,551.70/7,142.87
  6. Step 6: Final answer
    x = 7,263.41

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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.