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Finding the Fourth Proportional to 12,890.67, 19,297.74 and 7,029.51

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Solution

The fourth proportional to 12,890.67, 19,297.74 and 7,029.51 is: 10,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.67 : 19,297.74 = 7,029.51 : x
  2. Step 2: Convert to fraction form
    12,890.67/19,297.74 = 7,029.51/x
  3. Step 3: Cross multiply
    12,890.67x = 19,297.74 × 7,029.51
  4. Step 4: Simplify right side
    12,890.67x = 135,653,656.31
  5. Step 5: Solve for x
    x = 135,653,656.31/12,890.67
  6. Step 6: Final answer
    x = 10,523.40

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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.