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Finding the Fourth Proportional to 11,284, 15,568.32 and 7,308.16

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Solution

The fourth proportional to 11,284, 15,568.32 and 7,308.16 is: 10,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284 : 15,568.32 = 7,308.16 : x
  2. Step 2: Convert to fraction form
    11,284/15,568.32 = 7,308.16/x
  3. Step 3: Cross multiply
    11,284x = 15,568.32 × 7,308.16
  4. Step 4: Simplify right side
    11,284x = 113,775,773.49
  5. Step 5: Solve for x
    x = 113,775,773.49/11,284
  6. Step 6: Final answer
    x = 10,082.93

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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.