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Finding the Fourth Proportional to 7,854.55, 11,782.87 and 2,857.32

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Solution

The fourth proportional to 7,854.55, 11,782.87 and 2,857.32 is: 4,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.55 : 11,782.87 = 2,857.32 : x
  2. Step 2: Convert to fraction form
    7,854.55/11,782.87 = 2,857.32/x
  3. Step 3: Cross multiply
    7,854.55x = 11,782.87 × 2,857.32
  4. Step 4: Simplify right side
    7,854.55x = 33,667,430.11
  5. Step 5: Solve for x
    x = 33,667,430.11/7,854.55
  6. Step 6: Final answer
    x = 4,286.36

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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.