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Finding the Fourth Proportional to 37,115, 55,681.14 and 12,491

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Solution

The fourth proportional to 37,115, 55,681.14 and 12,491 is: 18,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115 : 55,681.14 = 12,491 : x
  2. Step 2: Convert to fraction form
    37,115/55,681.14 = 12,491/x
  3. Step 3: Cross multiply
    37,115x = 55,681.14 × 12,491
  4. Step 4: Simplify right side
    37,115x = 695,513,119.74
  5. Step 5: Solve for x
    x = 695,513,119.74/37,115
  6. Step 6: Final answer
    x = 18,739.41

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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.