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Finding the Fourth Proportional to 6,491.30, 9,736.94 and 1,560.94

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Solution

The fourth proportional to 6,491.30, 9,736.94 and 1,560.94 is: 2,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.30 : 9,736.94 = 1,560.94 : x
  2. Step 2: Convert to fraction form
    6,491.30/9,736.94 = 1,560.94/x
  3. Step 3: Cross multiply
    6,491.30x = 9,736.94 × 1,560.94
  4. Step 4: Simplify right side
    6,491.30x = 15,198,760.63
  5. Step 5: Solve for x
    x = 15,198,760.63/6,491.30
  6. Step 6: Final answer
    x = 2,341.40

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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.