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Finding the Fourth Proportional to 23,389.50, 32,279.74 and 12,780.74

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Solution

The fourth proportional to 23,389.50, 32,279.74 and 12,780.74 is: 17,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389.50 : 32,279.74 = 12,780.74 : x
  2. Step 2: Convert to fraction form
    23,389.50/32,279.74 = 12,780.74/x
  3. Step 3: Cross multiply
    23,389.50x = 32,279.74 × 12,780.74
  4. Step 4: Simplify right side
    23,389.50x = 412,558,964.21
  5. Step 5: Solve for x
    x = 412,558,964.21/23,389.50
  6. Step 6: Final answer
    x = 17,638.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.