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Finding the Fourth Proportional to 7,106.30, 9,819.72 and 6,764.88

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Solution

The fourth proportional to 7,106.30, 9,819.72 and 6,764.88 is: 9,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.30 : 9,819.72 = 6,764.88 : x
  2. Step 2: Convert to fraction form
    7,106.30/9,819.72 = 6,764.88/x
  3. Step 3: Cross multiply
    7,106.30x = 9,819.72 × 6,764.88
  4. Step 4: Simplify right side
    7,106.30x = 66,429,227.43
  5. Step 5: Solve for x
    x = 66,429,227.43/7,106.30
  6. Step 6: Final answer
    x = 9,347.93

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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.