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Finding the Fourth Proportional to 11,782.72, 16,259.54 and 6,477.71

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Solution

The fourth proportional to 11,782.72, 16,259.54 and 6,477.71 is: 8,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.72 : 16,259.54 = 6,477.71 : x
  2. Step 2: Convert to fraction form
    11,782.72/16,259.54 = 6,477.71/x
  3. Step 3: Cross multiply
    11,782.72x = 16,259.54 × 6,477.71
  4. Step 4: Simplify right side
    11,782.72x = 105,324,593.11
  5. Step 5: Solve for x
    x = 105,324,593.11/11,782.72
  6. Step 6: Final answer
    x = 8,938.91

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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.