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Finding the Fourth Proportional to 19,811.27, 29,718.74 and 7,164.19

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Solution

The fourth proportional to 19,811.27, 29,718.74 and 7,164.19 is: 10,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.27 : 29,718.74 = 7,164.19 : x
  2. Step 2: Convert to fraction form
    19,811.27/29,718.74 = 7,164.19/x
  3. Step 3: Cross multiply
    19,811.27x = 29,718.74 × 7,164.19
  4. Step 4: Simplify right side
    19,811.27x = 212,910,515.51
  5. Step 5: Solve for x
    x = 212,910,515.51/19,811.27
  6. Step 6: Final answer
    x = 10,746.94

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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.