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Finding the Fourth Proportional to 9,121, 12,587.94 and 6,638.44

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Solution

The fourth proportional to 9,121, 12,587.94 and 6,638.44 is: 9,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121 : 12,587.94 = 6,638.44 : x
  2. Step 2: Convert to fraction form
    9,121/12,587.94 = 6,638.44/x
  3. Step 3: Cross multiply
    9,121x = 12,587.94 × 6,638.44
  4. Step 4: Simplify right side
    9,121x = 83,564,284.41
  5. Step 5: Solve for x
    x = 83,564,284.41/9,121
  6. Step 6: Final answer
    x = 9,161.75

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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.