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Finding the Fourth Proportional to 9,313.81, 12,835 and 7,722.76

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Solution

The fourth proportional to 9,313.81, 12,835 and 7,722.76 is: 10,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.81 : 12,835 = 7,722.76 : x
  2. Step 2: Convert to fraction form
    9,313.81/12,835 = 7,722.76/x
  3. Step 3: Cross multiply
    9,313.81x = 12,835 × 7,722.76
  4. Step 4: Simplify right side
    9,313.81x = 99,121,624.60
  5. Step 5: Solve for x
    x = 99,121,624.60/9,313.81
  6. Step 6: Final answer
    x = 10,642.44

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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.