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Finding the Fourth Proportional to 7,313, 10,970.64 and 2,381.48

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Solution

The fourth proportional to 7,313, 10,970.64 and 2,381.48 is: 3,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313 : 10,970.64 = 2,381.48 : x
  2. Step 2: Convert to fraction form
    7,313/10,970.64 = 2,381.48/x
  3. Step 3: Cross multiply
    7,313x = 10,970.64 × 2,381.48
  4. Step 4: Simplify right side
    7,313x = 26,126,359.75
  5. Step 5: Solve for x
    x = 26,126,359.75/7,313
  6. Step 6: Final answer
    x = 3,572.59

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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.