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Finding the Fourth Proportional to 15,196.68, 20,969.70 and 8,821.32

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Solution

The fourth proportional to 15,196.68, 20,969.70 and 8,821.32 is: 12,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.68 : 20,969.70 = 8,821.32 : x
  2. Step 2: Convert to fraction form
    15,196.68/20,969.70 = 8,821.32/x
  3. Step 3: Cross multiply
    15,196.68x = 20,969.70 × 8,821.32
  4. Step 4: Simplify right side
    15,196.68x = 184,980,434.00
  5. Step 5: Solve for x
    x = 184,980,434.00/15,196.68
  6. Step 6: Final answer
    x = 12,172.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.