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Finding the Fourth Proportional to 12,670.65, 18,981.68 and 7,725.60

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Solution

The fourth proportional to 12,670.65, 18,981.68 and 7,725.60 is: 11,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.65 : 18,981.68 = 7,725.60 : x
  2. Step 2: Convert to fraction form
    12,670.65/18,981.68 = 7,725.60/x
  3. Step 3: Cross multiply
    12,670.65x = 18,981.68 × 7,725.60
  4. Step 4: Simplify right side
    12,670.65x = 146,644,828.38
  5. Step 5: Solve for x
    x = 146,644,828.38/12,670.65
  6. Step 6: Final answer
    x = 11,573.58

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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.