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Finding the Fourth Proportional to 11,290.16, 15,585 and 8,305.04

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Solution

The fourth proportional to 11,290.16, 15,585 and 8,305.04 is: 11,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.16 : 15,585 = 8,305.04 : x
  2. Step 2: Convert to fraction form
    11,290.16/15,585 = 8,305.04/x
  3. Step 3: Cross multiply
    11,290.16x = 15,585 × 8,305.04
  4. Step 4: Simplify right side
    11,290.16x = 129,434,048.40
  5. Step 5: Solve for x
    x = 129,434,048.40/11,290.16
  6. Step 6: Final answer
    x = 11,464.32

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Double scale
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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.