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Finding the Fourth Proportional to 12,641.85, 18,959.94 and 7,097.67

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Solution

The fourth proportional to 12,641.85, 18,959.94 and 7,097.67 is: 10,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.85 : 18,959.94 = 7,097.67 : x
  2. Step 2: Convert to fraction form
    12,641.85/18,959.94 = 7,097.67/x
  3. Step 3: Cross multiply
    12,641.85x = 18,959.94 × 7,097.67
  4. Step 4: Simplify right side
    12,641.85x = 134,571,397.34
  5. Step 5: Solve for x
    x = 134,571,397.34/12,641.85
  6. Step 6: Final answer
    x = 10,644.91

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1.5x scale

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.