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Finding the Fourth Proportional to 37,072, 55,613.76 and 12,453.76

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Solution

The fourth proportional to 37,072, 55,613.76 and 12,453.76 is: 18,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072 : 55,613.76 = 12,453.76 : x
  2. Step 2: Convert to fraction form
    37,072/55,613.76 = 12,453.76/x
  3. Step 3: Cross multiply
    37,072x = 55,613.76 × 12,453.76
  4. Step 4: Simplify right side
    37,072x = 692,600,419.74
  5. Step 5: Solve for x
    x = 692,600,419.74/37,072
  6. Step 6: Final answer
    x = 18,682.57

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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.