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Finding the Fourth Proportional to 7,107.05, 9,820.76 and 6,765.63

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Solution

The fourth proportional to 7,107.05, 9,820.76 and 6,765.63 is: 9,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.05 : 9,820.76 = 6,765.63 : x
  2. Step 2: Convert to fraction form
    7,107.05/9,820.76 = 6,765.63/x
  3. Step 3: Cross multiply
    7,107.05x = 9,820.76 × 6,765.63
  4. Step 4: Simplify right side
    7,107.05x = 66,443,594.65
  5. Step 5: Solve for x
    x = 66,443,594.65/7,107.05
  6. Step 6: Final answer
    x = 9,348.98

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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.