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Finding the Fourth Proportional to 14,903.73, 20,565.81 and 8,189.28

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Solution

The fourth proportional to 14,903.73, 20,565.81 and 8,189.28 is: 11,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.73 : 20,565.81 = 8,189.28 : x
  2. Step 2: Convert to fraction form
    14,903.73/20,565.81 = 8,189.28/x
  3. Step 3: Cross multiply
    14,903.73x = 20,565.81 × 8,189.28
  4. Step 4: Simplify right side
    14,903.73x = 168,419,176.52
  5. Step 5: Solve for x
    x = 168,419,176.52/14,903.73
  6. Step 6: Final answer
    x = 11,300.47

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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.