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Finding the Fourth Proportional to 8,529.76, 11,776.20 and 5,347.78

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Solution

The fourth proportional to 8,529.76, 11,776.20 and 5,347.78 is: 7,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.76 : 11,776.20 = 5,347.78 : x
  2. Step 2: Convert to fraction form
    8,529.76/11,776.20 = 5,347.78/x
  3. Step 3: Cross multiply
    8,529.76x = 11,776.20 × 5,347.78
  4. Step 4: Simplify right side
    8,529.76x = 62,976,567.66
  5. Step 5: Solve for x
    x = 62,976,567.66/8,529.76
  6. Step 6: Final answer
    x = 7,383.16

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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.