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Finding the Fourth Proportional to 43,803.18, 65,714.49 and 12,636

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Solution

The fourth proportional to 43,803.18, 65,714.49 and 12,636 is: 18,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,803.18 : 65,714.49 = 12,636 : x
  2. Step 2: Convert to fraction form
    43,803.18/65,714.49 = 12,636/x
  3. Step 3: Cross multiply
    43,803.18x = 65,714.49 × 12,636
  4. Step 4: Simplify right side
    43,803.18x = 830,368,295.64
  5. Step 5: Solve for x
    x = 830,368,295.64/43,803.18
  6. Step 6: Final answer
    x = 18,956.80

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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.