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Finding the Fourth Proportional to 7,758.72, 10,722.24 and 6,894.72

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Solution

The fourth proportional to 7,758.72, 10,722.24 and 6,894.72 is: 9,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.72 : 10,722.24 = 6,894.72 : x
  2. Step 2: Convert to fraction form
    7,758.72/10,722.24 = 6,894.72/x
  3. Step 3: Cross multiply
    7,758.72x = 10,722.24 × 6,894.72
  4. Step 4: Simplify right side
    7,758.72x = 73,926,842.57
  5. Step 5: Solve for x
    x = 73,926,842.57/7,758.72
  6. Step 6: Final answer
    x = 9,528.23

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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.