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Finding the Fourth Proportional to 9,581, 13,222.54 and 5,389.56

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Solution

The fourth proportional to 9,581, 13,222.54 and 5,389.56 is: 7,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581 : 13,222.54 = 5,389.56 : x
  2. Step 2: Convert to fraction form
    9,581/13,222.54 = 5,389.56/x
  3. Step 3: Cross multiply
    9,581x = 13,222.54 × 5,389.56
  4. Step 4: Simplify right side
    9,581x = 71,263,672.68
  5. Step 5: Solve for x
    x = 71,263,672.68/9,581
  6. Step 6: Final answer
    x = 7,438.02

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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.