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Finding the Fourth Proportional to 20,657.89, 28,497.39 and 13,492

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Solution

The fourth proportional to 20,657.89, 28,497.39 and 13,492 is: 18,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.89 : 28,497.39 = 13,492 : x
  2. Step 2: Convert to fraction form
    20,657.89/28,497.39 = 13,492/x
  3. Step 3: Cross multiply
    20,657.89x = 28,497.39 × 13,492
  4. Step 4: Simplify right side
    20,657.89x = 384,486,785.88
  5. Step 5: Solve for x
    x = 384,486,785.88/20,657.89
  6. Step 6: Final answer
    x = 18,612.10

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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.