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Finding the Fourth Proportional to 7,854.81, 11,782.22 and 4,935.17

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Solution

The fourth proportional to 7,854.81, 11,782.22 and 4,935.17 is: 7,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.81 : 11,782.22 = 4,935.17 : x
  2. Step 2: Convert to fraction form
    7,854.81/11,782.22 = 4,935.17/x
  3. Step 3: Cross multiply
    7,854.81x = 11,782.22 × 4,935.17
  4. Step 4: Simplify right side
    7,854.81x = 58,147,175.09
  5. Step 5: Solve for x
    x = 58,147,175.09/7,854.81
  6. Step 6: Final answer
    x = 7,402.75

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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.