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Finding the Fourth Proportional to 11,756.80, 16,220.82 and 8,782.48

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Solution

The fourth proportional to 11,756.80, 16,220.82 and 8,782.48 is: 12,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.80 : 16,220.82 = 8,782.48 : x
  2. Step 2: Convert to fraction form
    11,756.80/16,220.82 = 8,782.48/x
  3. Step 3: Cross multiply
    11,756.80x = 16,220.82 × 8,782.48
  4. Step 4: Simplify right side
    11,756.80x = 142,459,027.23
  5. Step 5: Solve for x
    x = 142,459,027.23/11,756.80
  6. Step 6: Final answer
    x = 12,117.16

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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.