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Finding the Fourth Proportional to 6,309.53, 9,415.69 and 5,541.65

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Solution

The fourth proportional to 6,309.53, 9,415.69 and 5,541.65 is: 8,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.53 : 9,415.69 = 5,541.65 : x
  2. Step 2: Convert to fraction form
    6,309.53/9,415.69 = 5,541.65/x
  3. Step 3: Cross multiply
    6,309.53x = 9,415.69 × 5,541.65
  4. Step 4: Simplify right side
    6,309.53x = 52,178,430.78
  5. Step 5: Solve for x
    x = 52,178,430.78/6,309.53
  6. Step 6: Final answer
    x = 8,269.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.