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Finding the Fourth Proportional to 21,971.04, 32,978.40 and 12,114.96

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Solution

The fourth proportional to 21,971.04, 32,978.40 and 12,114.96 is: 18,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.04 : 32,978.40 = 12,114.96 : x
  2. Step 2: Convert to fraction form
    21,971.04/32,978.40 = 12,114.96/x
  3. Step 3: Cross multiply
    21,971.04x = 32,978.40 × 12,114.96
  4. Step 4: Simplify right side
    21,971.04x = 399,531,996.86
  5. Step 5: Solve for x
    x = 399,531,996.86/21,971.04
  6. Step 6: Final answer
    x = 18,184.48

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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.