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Finding the Fourth Proportional to 6,940.86, 9,575.65 and 4,283.65

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Solution

The fourth proportional to 6,940.86, 9,575.65 and 4,283.65 is: 5,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.86 : 9,575.65 = 4,283.65 : x
  2. Step 2: Convert to fraction form
    6,940.86/9,575.65 = 4,283.65/x
  3. Step 3: Cross multiply
    6,940.86x = 9,575.65 × 4,283.65
  4. Step 4: Simplify right side
    6,940.86x = 41,018,750.45
  5. Step 5: Solve for x
    x = 41,018,750.45/6,940.86
  6. Step 6: Final answer
    x = 5,909.75

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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.