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Finding the Fourth Proportional to 7,666.20, 10,754.55 and 7,666.20

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Solution

The fourth proportional to 7,666.20, 10,754.55 and 7,666.20 is: 10,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.20 : 10,754.55 = 7,666.20 : x
  2. Step 2: Convert to fraction form
    7,666.20/10,754.55 = 7,666.20/x
  3. Step 3: Cross multiply
    7,666.20x = 10,754.55 × 7,666.20
  4. Step 4: Simplify right side
    7,666.20x = 82,446,531.21
  5. Step 5: Solve for x
    x = 82,446,531.21/7,666.20
  6. Step 6: Final answer
    x = 10,754.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.