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Finding the Fourth Proportional to 37,853.40, 56,788.02 and 12,891.48

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Solution

The fourth proportional to 37,853.40, 56,788.02 and 12,891.48 is: 19,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,853.40 : 56,788.02 = 12,891.48 : x
  2. Step 2: Convert to fraction form
    37,853.40/56,788.02 = 12,891.48/x
  3. Step 3: Cross multiply
    37,853.40x = 56,788.02 × 12,891.48
  4. Step 4: Simplify right side
    37,853.40x = 732,081,624.07
  5. Step 5: Solve for x
    x = 732,081,624.07/37,853.40
  6. Step 6: Final answer
    x = 19,339.92

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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.