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Finding the Fourth Proportional to 14,306.81, 19,743.32 and 8,019.18

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Solution

The fourth proportional to 14,306.81, 19,743.32 and 8,019.18 is: 11,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.81 : 19,743.32 = 8,019.18 : x
  2. Step 2: Convert to fraction form
    14,306.81/19,743.32 = 8,019.18/x
  3. Step 3: Cross multiply
    14,306.81x = 19,743.32 × 8,019.18
  4. Step 4: Simplify right side
    14,306.81x = 158,325,256.93
  5. Step 5: Solve for x
    x = 158,325,256.93/14,306.81
  6. Step 6: Final answer
    x = 11,066.43

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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.