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Finding the Fourth Proportional to 9,761.66, 14,642.50 and 4,571.18

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Solution

The fourth proportional to 9,761.66, 14,642.50 and 4,571.18 is: 6,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.66 : 14,642.50 = 4,571.18 : x
  2. Step 2: Convert to fraction form
    9,761.66/14,642.50 = 4,571.18/x
  3. Step 3: Cross multiply
    9,761.66x = 14,642.50 × 4,571.18
  4. Step 4: Simplify right side
    9,761.66x = 66,933,503.15
  5. Step 5: Solve for x
    x = 66,933,503.15/9,761.66
  6. Step 6: Final answer
    x = 6,856.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.