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Finding the Fourth Proportional to 6,505.76, 9,760.19 and 2,123.22

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Solution

The fourth proportional to 6,505.76, 9,760.19 and 2,123.22 is: 3,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.76 : 9,760.19 = 2,123.22 : x
  2. Step 2: Convert to fraction form
    6,505.76/9,760.19 = 2,123.22/x
  3. Step 3: Cross multiply
    6,505.76x = 9,760.19 × 2,123.22
  4. Step 4: Simplify right side
    6,505.76x = 20,723,030.61
  5. Step 5: Solve for x
    x = 20,723,030.61/6,505.76
  6. Step 6: Final answer
    x = 3,185.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.