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Finding the Fourth Proportional to 21,072.64, 31,602.24 and 8,592.64

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Solution

The fourth proportional to 21,072.64, 31,602.24 and 8,592.64 is: 12,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.64 : 31,602.24 = 8,592.64 : x
  2. Step 2: Convert to fraction form
    21,072.64/31,602.24 = 8,592.64/x
  3. Step 3: Cross multiply
    21,072.64x = 31,602.24 × 8,592.64
  4. Step 4: Simplify right side
    21,072.64x = 271,546,671.51
  5. Step 5: Solve for x
    x = 271,546,671.51/21,072.64
  6. Step 6: Final answer
    x = 12,886.22

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1.5x scale

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.