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Finding the Fourth Proportional to 37,080, 55,620.48 and 12,456

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Solution

The fourth proportional to 37,080, 55,620.48 and 12,456 is: 18,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080 : 55,620.48 = 12,456 : x
  2. Step 2: Convert to fraction form
    37,080/55,620.48 = 12,456/x
  3. Step 3: Cross multiply
    37,080x = 55,620.48 × 12,456
  4. Step 4: Simplify right side
    37,080x = 692,808,698.88
  5. Step 5: Solve for x
    x = 692,808,698.88/37,080
  6. Step 6: Final answer
    x = 18,684.16

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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.