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Finding the Fourth Proportional to 21,512.78, 32,258.08 and 9,656.40

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Solution

The fourth proportional to 21,512.78, 32,258.08 and 9,656.40 is: 14,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.78 : 32,258.08 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    21,512.78/32,258.08 = 9,656.40/x
  3. Step 3: Cross multiply
    21,512.78x = 32,258.08 × 9,656.40
  4. Step 4: Simplify right side
    21,512.78x = 311,496,761.37
  5. Step 5: Solve for x
    x = 311,496,761.37/21,512.78
  6. Step 6: Final answer
    x = 14,479.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.