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Finding the Fourth Proportional to 10,644.61, 14,665.08 and 8,405.66

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Solution

The fourth proportional to 10,644.61, 14,665.08 and 8,405.66 is: 11,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.61 : 14,665.08 = 8,405.66 : x
  2. Step 2: Convert to fraction form
    10,644.61/14,665.08 = 8,405.66/x
  3. Step 3: Cross multiply
    10,644.61x = 14,665.08 × 8,405.66
  4. Step 4: Simplify right side
    10,644.61x = 123,269,676.35
  5. Step 5: Solve for x
    x = 123,269,676.35/10,644.61
  6. Step 6: Final answer
    x = 11,580.48

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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.