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Finding the Fourth Proportional to 11,875.44, 16,388.76 and 7,160.44

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Solution

The fourth proportional to 11,875.44, 16,388.76 and 7,160.44 is: 9,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.44 : 16,388.76 = 7,160.44 : x
  2. Step 2: Convert to fraction form
    11,875.44/16,388.76 = 7,160.44/x
  3. Step 3: Cross multiply
    11,875.44x = 16,388.76 × 7,160.44
  4. Step 4: Simplify right side
    11,875.44x = 117,350,732.65
  5. Step 5: Solve for x
    x = 117,350,732.65/11,875.44
  6. Step 6: Final answer
    x = 9,881.80

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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.