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Finding the Fourth Proportional to 12,537.81, 18,807.26 and 6,986.93

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Solution

The fourth proportional to 12,537.81, 18,807.26 and 6,986.93 is: 10,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.81 : 18,807.26 = 6,986.93 : x
  2. Step 2: Convert to fraction form
    12,537.81/18,807.26 = 6,986.93/x
  3. Step 3: Cross multiply
    12,537.81x = 18,807.26 × 6,986.93
  4. Step 4: Simplify right side
    12,537.81x = 131,404,880.14
  5. Step 5: Solve for x
    x = 131,404,880.14/12,537.81
  6. Step 6: Final answer
    x = 10,480.69

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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.