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Finding the Fourth Proportional to 36,509.40, 54,788.40 and 20,714.40

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Solution

The fourth proportional to 36,509.40, 54,788.40 and 20,714.40 is: 31,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.40 : 54,788.40 = 20,714.40 : x
  2. Step 2: Convert to fraction form
    36,509.40/54,788.40 = 20,714.40/x
  3. Step 3: Cross multiply
    36,509.40x = 54,788.40 × 20,714.40
  4. Step 4: Simplify right side
    36,509.40x = 1,134,908,832.96
  5. Step 5: Solve for x
    x = 1,134,908,832.96/36,509.40
  6. Step 6: Final answer
    x = 31,085.39

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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.