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Finding the Fourth Proportional to 7,758.43, 10,706.71 and 4,221.63

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Solution

The fourth proportional to 7,758.43, 10,706.71 and 4,221.63 is: 5,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.43 : 10,706.71 = 4,221.63 : x
  2. Step 2: Convert to fraction form
    7,758.43/10,706.71 = 4,221.63/x
  3. Step 3: Cross multiply
    7,758.43x = 10,706.71 × 4,221.63
  4. Step 4: Simplify right side
    7,758.43x = 45,199,768.14
  5. Step 5: Solve for x
    x = 45,199,768.14/7,758.43
  6. Step 6: Final answer
    x = 5,825.89

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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.