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Finding the Fourth Proportional to 37,258.40, 55,871.40 and 12,288.80

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Solution

The fourth proportional to 37,258.40, 55,871.40 and 12,288.80 is: 18,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,258.40 : 55,871.40 = 12,288.80 : x
  2. Step 2: Convert to fraction form
    37,258.40/55,871.40 = 12,288.80/x
  3. Step 3: Cross multiply
    37,258.40x = 55,871.40 × 12,288.80
  4. Step 4: Simplify right side
    37,258.40x = 686,592,460.32
  5. Step 5: Solve for x
    x = 686,592,460.32/37,258.40
  6. Step 6: Final answer
    x = 18,427.86

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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.