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Finding the Fourth Proportional to 7,242.60, 10,859.04 and 2,857.80

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Solution

The fourth proportional to 7,242.60, 10,859.04 and 2,857.80 is: 4,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.60 : 10,859.04 = 2,857.80 : x
  2. Step 2: Convert to fraction form
    7,242.60/10,859.04 = 2,857.80/x
  3. Step 3: Cross multiply
    7,242.60x = 10,859.04 × 2,857.80
  4. Step 4: Simplify right side
    7,242.60x = 31,032,964.51
  5. Step 5: Solve for x
    x = 31,032,964.51/7,242.60
  6. Step 6: Final answer
    x = 4,284.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.