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Finding the Fourth Proportional to 14,919.48, 20,590.47 and 9,258.12

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Solution

The fourth proportional to 14,919.48, 20,590.47 and 9,258.12 is: 12,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.48 : 20,590.47 = 9,258.12 : x
  2. Step 2: Convert to fraction form
    14,919.48/20,590.47 = 9,258.12/x
  3. Step 3: Cross multiply
    14,919.48x = 20,590.47 × 9,258.12
  4. Step 4: Simplify right side
    14,919.48x = 190,629,042.12
  5. Step 5: Solve for x
    x = 190,629,042.12/14,919.48
  6. Step 6: Final answer
    x = 12,777.19

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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.