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Finding the Fourth Proportional to 14,909, 20,574.60 and 8,945.84

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Solution

The fourth proportional to 14,909, 20,574.60 and 8,945.84 is: 12,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909 : 20,574.60 = 8,945.84 : x
  2. Step 2: Convert to fraction form
    14,909/20,574.60 = 8,945.84/x
  3. Step 3: Cross multiply
    14,909x = 20,574.60 × 8,945.84
  4. Step 4: Simplify right side
    14,909x = 184,057,079.66
  5. Step 5: Solve for x
    x = 184,057,079.66/14,909
  6. Step 6: Final answer
    x = 12,345.37

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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.