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Finding the Fourth Proportional to 20,969.12, 28,947.02 and 13,016.03

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Solution

The fourth proportional to 20,969.12, 28,947.02 and 13,016.03 is: 17,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.12 : 28,947.02 = 13,016.03 : x
  2. Step 2: Convert to fraction form
    20,969.12/28,947.02 = 13,016.03/x
  3. Step 3: Cross multiply
    20,969.12x = 28,947.02 × 13,016.03
  4. Step 4: Simplify right side
    20,969.12x = 376,775,070.92
  5. Step 5: Solve for x
    x = 376,775,070.92/20,969.12
  6. Step 6: Final answer
    x = 17,968.10

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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.