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Finding the Fourth Proportional to 20,969.68, 28,928.52 and 13,412.24

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Solution

The fourth proportional to 20,969.68, 28,928.52 and 13,412.24 is: 18,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.68 : 28,928.52 = 13,412.24 : x
  2. Step 2: Convert to fraction form
    20,969.68/28,928.52 = 13,412.24/x
  3. Step 3: Cross multiply
    20,969.68x = 28,928.52 × 13,412.24
  4. Step 4: Simplify right side
    20,969.68x = 387,996,253.08
  5. Step 5: Solve for x
    x = 387,996,253.08/20,969.68
  6. Step 6: Final answer
    x = 18,502.73

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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.