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Finding the Fourth Proportional to 11,972.48, 17,958.74 and 9,916.16

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Solution

The fourth proportional to 11,972.48, 17,958.74 and 9,916.16 is: 14,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.48 : 17,958.74 = 9,916.16 : x
  2. Step 2: Convert to fraction form
    11,972.48/17,958.74 = 9,916.16/x
  3. Step 3: Cross multiply
    11,972.48x = 17,958.74 × 9,916.16
  4. Step 4: Simplify right side
    11,972.48x = 178,081,739.24
  5. Step 5: Solve for x
    x = 178,081,739.24/11,972.48
  6. Step 6: Final answer
    x = 14,874.26

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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.