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Finding the Fourth Proportional to 19,161.50, 28,742.25 and 5,310.50

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Solution

The fourth proportional to 19,161.50, 28,742.25 and 5,310.50 is: 7,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161.50 : 28,742.25 = 5,310.50 : x
  2. Step 2: Convert to fraction form
    19,161.50/28,742.25 = 5,310.50/x
  3. Step 3: Cross multiply
    19,161.50x = 28,742.25 × 5,310.50
  4. Step 4: Simplify right side
    19,161.50x = 152,635,718.63
  5. Step 5: Solve for x
    x = 152,635,718.63/19,161.50
  6. Step 6: Final answer
    x = 7,965.75

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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.