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Finding the Fourth Proportional to 37,320, 55,980.48 and 12,696

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Solution

The fourth proportional to 37,320, 55,980.48 and 12,696 is: 19,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320 : 55,980.48 = 12,696 : x
  2. Step 2: Convert to fraction form
    37,320/55,980.48 = 12,696/x
  3. Step 3: Cross multiply
    37,320x = 55,980.48 × 12,696
  4. Step 4: Simplify right side
    37,320x = 710,728,174.08
  5. Step 5: Solve for x
    x = 710,728,174.08/37,320
  6. Step 6: Final answer
    x = 19,044.16

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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.