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Finding the Fourth Proportional to 11,290, 15,576.60 and 7,314.16

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Solution

The fourth proportional to 11,290, 15,576.60 and 7,314.16 is: 10,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290 : 15,576.60 = 7,314.16 : x
  2. Step 2: Convert to fraction form
    11,290/15,576.60 = 7,314.16/x
  3. Step 3: Cross multiply
    11,290x = 15,576.60 × 7,314.16
  4. Step 4: Simplify right side
    11,290x = 113,929,744.66
  5. Step 5: Solve for x
    x = 113,929,744.66/11,290
  6. Step 6: Final answer
    x = 10,091.21

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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.