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Finding the Fourth Proportional to 13,823.91, 20,719.80 and 7,904.97

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Solution

The fourth proportional to 13,823.91, 20,719.80 and 7,904.97 is: 11,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.91 : 20,719.80 = 7,904.97 : x
  2. Step 2: Convert to fraction form
    13,823.91/20,719.80 = 7,904.97/x
  3. Step 3: Cross multiply
    13,823.91x = 20,719.80 × 7,904.97
  4. Step 4: Simplify right side
    13,823.91x = 163,789,397.41
  5. Step 5: Solve for x
    x = 163,789,397.41/13,823.91
  6. Step 6: Final answer
    x = 11,848.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.