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Finding the Fourth Proportional to 37,248.40, 55,856.40 and 12,278.80

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Solution

The fourth proportional to 37,248.40, 55,856.40 and 12,278.80 is: 18,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,248.40 : 55,856.40 = 12,278.80 : x
  2. Step 2: Convert to fraction form
    37,248.40/55,856.40 = 12,278.80/x
  3. Step 3: Cross multiply
    37,248.40x = 55,856.40 × 12,278.80
  4. Step 4: Simplify right side
    37,248.40x = 685,849,564.32
  5. Step 5: Solve for x
    x = 685,849,564.32/37,248.40
  6. Step 6: Final answer
    x = 18,412.86

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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.