Home / 7,313.40-10,971-2,381.72

Finding the Fourth Proportional to 7,313.40, 10,971 and 2,381.72

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Solution

The fourth proportional to 7,313.40, 10,971 and 2,381.72 is: 3,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.40 : 10,971 = 2,381.72 : x
  2. Step 2: Convert to fraction form
    7,313.40/10,971 = 2,381.72/x
  3. Step 3: Cross multiply
    7,313.40x = 10,971 × 2,381.72
  4. Step 4: Simplify right side
    7,313.40x = 26,129,795.27
  5. Step 5: Solve for x
    x = 26,129,795.27/7,313.40
  6. Step 6: Final answer
    x = 3,572.87

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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.