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Finding the Fourth Proportional to 37,581, 51,863.40 and 20,814

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Solution

The fourth proportional to 37,581, 51,863.40 and 20,814 is: 28,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581 : 51,863.40 = 20,814 : x
  2. Step 2: Convert to fraction form
    37,581/51,863.40 = 20,814/x
  3. Step 3: Cross multiply
    37,581x = 51,863.40 × 20,814
  4. Step 4: Simplify right side
    37,581x = 1,079,484,807.60
  5. Step 5: Solve for x
    x = 1,079,484,807.60/37,581
  6. Step 6: Final answer
    x = 28,724.22

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Why These Related Problems?

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