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Finding the Fourth Proportional to 9,345.57, 12,896.90 and 5,366.94

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Solution

The fourth proportional to 9,345.57, 12,896.90 and 5,366.94 is: 7,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.57 : 12,896.90 = 5,366.94 : x
  2. Step 2: Convert to fraction form
    9,345.57/12,896.90 = 5,366.94/x
  3. Step 3: Cross multiply
    9,345.57x = 12,896.90 × 5,366.94
  4. Step 4: Simplify right side
    9,345.57x = 69,216,861.65
  5. Step 5: Solve for x
    x = 69,216,861.65/9,345.57
  6. Step 6: Final answer
    x = 7,406.38

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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.