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Finding the Fourth Proportional to 6,807.65, 9,388.91 and 5,747.86

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Solution

The fourth proportional to 6,807.65, 9,388.91 and 5,747.86 is: 7,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.65 : 9,388.91 = 5,747.86 : x
  2. Step 2: Convert to fraction form
    6,807.65/9,388.91 = 5,747.86/x
  3. Step 3: Cross multiply
    6,807.65x = 9,388.91 × 5,747.86
  4. Step 4: Simplify right side
    6,807.65x = 53,966,166.34
  5. Step 5: Solve for x
    x = 53,966,166.34/6,807.65
  6. Step 6: Final answer
    x = 7,927.29

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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.