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Finding the Fourth Proportional to 21,970.60, 32,961.51 and 6,388.22

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Solution

The fourth proportional to 21,970.60, 32,961.51 and 6,388.22 is: 9,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.60 : 32,961.51 = 6,388.22 : x
  2. Step 2: Convert to fraction form
    21,970.60/32,961.51 = 6,388.22/x
  3. Step 3: Cross multiply
    21,970.60x = 32,961.51 × 6,388.22
  4. Step 4: Simplify right side
    21,970.60x = 210,565,459.82
  5. Step 5: Solve for x
    x = 210,565,459.82/21,970.60
  6. Step 6: Final answer
    x = 9,583.97

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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.