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Finding the Fourth Proportional to 9,664.78, 14,477.73 and 8,177.62

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Solution

The fourth proportional to 9,664.78, 14,477.73 and 8,177.62 is: 12,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.78 : 14,477.73 = 8,177.62 : x
  2. Step 2: Convert to fraction form
    9,664.78/14,477.73 = 8,177.62/x
  3. Step 3: Cross multiply
    9,664.78x = 14,477.73 × 8,177.62
  4. Step 4: Simplify right side
    9,664.78x = 118,393,374.40
  5. Step 5: Solve for x
    x = 118,393,374.40/9,664.78
  6. Step 6: Final answer
    x = 12,249.98

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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.