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Finding the Fourth Proportional to 15,838.78, 23,733.16 and 12,862.74

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Solution

The fourth proportional to 15,838.78, 23,733.16 and 12,862.74 is: 19,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.78 : 23,733.16 = 12,862.74 : x
  2. Step 2: Convert to fraction form
    15,838.78/23,733.16 = 12,862.74/x
  3. Step 3: Cross multiply
    15,838.78x = 23,733.16 × 12,862.74
  4. Step 4: Simplify right side
    15,838.78x = 305,273,466.46
  5. Step 5: Solve for x
    x = 305,273,466.46/15,838.78
  6. Step 6: Final answer
    x = 19,273.80

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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.