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Finding the Fourth Proportional to 14,837.40, 20,824.20 and 14,837.40

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Solution

The fourth proportional to 14,837.40, 20,824.20 and 14,837.40 is: 20,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837.40 : 20,824.20 = 14,837.40 : x
  2. Step 2: Convert to fraction form
    14,837.40/20,824.20 = 14,837.40/x
  3. Step 3: Cross multiply
    14,837.40x = 20,824.20 × 14,837.40
  4. Step 4: Simplify right side
    14,837.40x = 308,976,985.08
  5. Step 5: Solve for x
    x = 308,976,985.08/14,837.40
  6. Step 6: Final answer
    x = 20,824.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.