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Finding the Fourth Proportional to 21,980.60, 32,971.06 and 8,129.40

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Solution

The fourth proportional to 21,980.60, 32,971.06 and 8,129.40 is: 12,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.60 : 32,971.06 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    21,980.60/32,971.06 = 8,129.40/x
  3. Step 3: Cross multiply
    21,980.60x = 32,971.06 × 8,129.40
  4. Step 4: Simplify right side
    21,980.60x = 268,034,935.16
  5. Step 5: Solve for x
    x = 268,034,935.16/21,980.60
  6. Step 6: Final answer
    x = 12,194.16

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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.