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Finding the Fourth Proportional to 19,511.76, 26,917.34 and 12,433.76

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Solution

The fourth proportional to 19,511.76, 26,917.34 and 12,433.76 is: 17,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.76 : 26,917.34 = 12,433.76 : x
  2. Step 2: Convert to fraction form
    19,511.76/26,917.34 = 12,433.76/x
  3. Step 3: Cross multiply
    19,511.76x = 26,917.34 × 12,433.76
  4. Step 4: Simplify right side
    19,511.76x = 334,683,745.40
  5. Step 5: Solve for x
    x = 334,683,745.40/19,511.76
  6. Step 6: Final answer
    x = 17,152.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.