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Finding the Fourth Proportional to 15,530.32, 21,431.88 and 8,906.32

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Solution

The fourth proportional to 15,530.32, 21,431.88 and 8,906.32 is: 12,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.32 : 21,431.88 = 8,906.32 : x
  2. Step 2: Convert to fraction form
    15,530.32/21,431.88 = 8,906.32/x
  3. Step 3: Cross multiply
    15,530.32x = 21,431.88 × 8,906.32
  4. Step 4: Simplify right side
    15,530.32x = 190,879,181.48
  5. Step 5: Solve for x
    x = 190,879,181.48/15,530.32
  6. Step 6: Final answer
    x = 12,290.74

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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.