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Finding the Fourth Proportional to 14,393.57, 19,862.81 and 8,020.16

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Solution

The fourth proportional to 14,393.57, 19,862.81 and 8,020.16 is: 11,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.57 : 19,862.81 = 8,020.16 : x
  2. Step 2: Convert to fraction form
    14,393.57/19,862.81 = 8,020.16/x
  3. Step 3: Cross multiply
    14,393.57x = 19,862.81 × 8,020.16
  4. Step 4: Simplify right side
    14,393.57x = 159,302,914.25
  5. Step 5: Solve for x
    x = 159,302,914.25/14,393.57
  6. Step 6: Final answer
    x = 11,067.64

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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.