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Finding the Fourth Proportional to 8,554.66, 11,811.00 and 7,656.86

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Solution

The fourth proportional to 8,554.66, 11,811.00 and 7,656.86 is: 10,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.66 : 11,811.00 = 7,656.86 : x
  2. Step 2: Convert to fraction form
    8,554.66/11,811.00 = 7,656.86/x
  3. Step 3: Cross multiply
    8,554.66x = 11,811.00 × 7,656.86
  4. Step 4: Simplify right side
    8,554.66x = 90,435,188.63
  5. Step 5: Solve for x
    x = 90,435,188.63/8,554.66
  6. Step 6: Final answer
    x = 10,571.45

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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.