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Finding the Fourth Proportional to 15,491.34, 23,217.98 and 7,160.09

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Solution

The fourth proportional to 15,491.34, 23,217.98 and 7,160.09 is: 10,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.34 : 23,217.98 = 7,160.09 : x
  2. Step 2: Convert to fraction form
    15,491.34/23,217.98 = 7,160.09/x
  3. Step 3: Cross multiply
    15,491.34x = 23,217.98 × 7,160.09
  4. Step 4: Simplify right side
    15,491.34x = 166,242,674.53
  5. Step 5: Solve for x
    x = 166,242,674.53/15,491.34
  6. Step 6: Final answer
    x = 10,731.33

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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.