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Finding the Fourth Proportional to 12,980.10, 17,912.16 and 7,314.75

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Solution

The fourth proportional to 12,980.10, 17,912.16 and 7,314.75 is: 10,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.10 : 17,912.16 = 7,314.75 : x
  2. Step 2: Convert to fraction form
    12,980.10/17,912.16 = 7,314.75/x
  3. Step 3: Cross multiply
    12,980.10x = 17,912.16 × 7,314.75
  4. Step 4: Simplify right side
    12,980.10x = 131,022,972.36
  5. Step 5: Solve for x
    x = 131,022,972.36/12,980.10
  6. Step 6: Final answer
    x = 10,094.14

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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.