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Finding the Fourth Proportional to 37,281.40, 55,922.10 and 12,657.40

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Solution

The fourth proportional to 37,281.40, 55,922.10 and 12,657.40 is: 18,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,281.40 : 55,922.10 = 12,657.40 : x
  2. Step 2: Convert to fraction form
    37,281.40/55,922.10 = 12,657.40/x
  3. Step 3: Cross multiply
    37,281.40x = 55,922.10 × 12,657.40
  4. Step 4: Simplify right side
    37,281.40x = 707,828,388.54
  5. Step 5: Solve for x
    x = 707,828,388.54/37,281.40
  6. Step 6: Final answer
    x = 18,986.10

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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.