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Finding the Fourth Proportional to 20,924, 28,874.84 and 11,492.40

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Solution

The fourth proportional to 20,924, 28,874.84 and 11,492.40 is: 15,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924 : 28,874.84 = 11,492.40 : x
  2. Step 2: Convert to fraction form
    20,924/28,874.84 = 11,492.40/x
  3. Step 3: Cross multiply
    20,924x = 28,874.84 × 11,492.40
  4. Step 4: Simplify right side
    20,924x = 331,841,211.22
  5. Step 5: Solve for x
    x = 331,841,211.22/20,924
  6. Step 6: Final answer
    x = 15,859.36

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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.