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Finding the Fourth Proportional to 6,405.70, 9,544.87 and 5,707

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Solution

The fourth proportional to 6,405.70, 9,544.87 and 5,707 is: 8,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.70 : 9,544.87 = 5,707 : x
  2. Step 2: Convert to fraction form
    6,405.70/9,544.87 = 5,707/x
  3. Step 3: Cross multiply
    6,405.70x = 9,544.87 × 5,707
  4. Step 4: Simplify right side
    6,405.70x = 54,472,573.09
  5. Step 5: Solve for x
    x = 54,472,573.09/6,405.70
  6. Step 6: Final answer
    x = 8,503.77

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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.