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Finding the Fourth Proportional to 22,511.94, 31,064.94 and 12,440.40

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Solution

The fourth proportional to 22,511.94, 31,064.94 and 12,440.40 is: 17,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.94 : 31,064.94 = 12,440.40 : x
  2. Step 2: Convert to fraction form
    22,511.94/31,064.94 = 12,440.40/x
  3. Step 3: Cross multiply
    22,511.94x = 31,064.94 × 12,440.40
  4. Step 4: Simplify right side
    22,511.94x = 386,460,279.58
  5. Step 5: Solve for x
    x = 386,460,279.58/22,511.94
  6. Step 6: Final answer
    x = 17,166.90

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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.