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Finding the Fourth Proportional to 7,714.78, 11,594.86 and 6,406.94

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Solution

The fourth proportional to 7,714.78, 11,594.86 and 6,406.94 is: 9,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.78 : 11,594.86 = 6,406.94 : x
  2. Step 2: Convert to fraction form
    7,714.78/11,594.86 = 6,406.94/x
  3. Step 3: Cross multiply
    7,714.78x = 11,594.86 × 6,406.94
  4. Step 4: Simplify right side
    7,714.78x = 74,287,572.33
  5. Step 5: Solve for x
    x = 74,287,572.33/7,714.78
  6. Step 6: Final answer
    x = 9,629.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.