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Finding the Fourth Proportional to 6,471.64, 9,709.28 and 2,089.45

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Solution

The fourth proportional to 6,471.64, 9,709.28 and 2,089.45 is: 3,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.64 : 9,709.28 = 2,089.45 : x
  2. Step 2: Convert to fraction form
    6,471.64/9,709.28 = 2,089.45/x
  3. Step 3: Cross multiply
    6,471.64x = 9,709.28 × 2,089.45
  4. Step 4: Simplify right side
    6,471.64x = 20,287,055.10
  5. Step 5: Solve for x
    x = 20,287,055.10/6,471.64
  6. Step 6: Final answer
    x = 3,134.76

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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.