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Finding the Fourth Proportional to 19,274.67, 28,913.40 and 8,180.10

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Solution

The fourth proportional to 19,274.67, 28,913.40 and 8,180.10 is: 12,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274.67 : 28,913.40 = 8,180.10 : x
  2. Step 2: Convert to fraction form
    19,274.67/28,913.40 = 8,180.10/x
  3. Step 3: Cross multiply
    19,274.67x = 28,913.40 × 8,180.10
  4. Step 4: Simplify right side
    19,274.67x = 236,514,503.34
  5. Step 5: Solve for x
    x = 236,514,503.34/19,274.67
  6. Step 6: Final answer
    x = 12,270.74

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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.