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Finding the Fourth Proportional to 9,711, 14,571.78 and 3,867.60

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Solution

The fourth proportional to 9,711, 14,571.78 and 3,867.60 is: 5,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 14,571.78 = 3,867.60 : x
  2. Step 2: Convert to fraction form
    9,711/14,571.78 = 3,867.60/x
  3. Step 3: Cross multiply
    9,711x = 14,571.78 × 3,867.60
  4. Step 4: Simplify right side
    9,711x = 56,357,816.33
  5. Step 5: Solve for x
    x = 56,357,816.33/9,711
  6. Step 6: Final answer
    x = 5,803.50

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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.