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Finding the Fourth Proportional to 12,952.90, 19,431.99 and 7,408.90

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Solution

The fourth proportional to 12,952.90, 19,431.99 and 7,408.90 is: 11,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.90 : 19,431.99 = 7,408.90 : x
  2. Step 2: Convert to fraction form
    12,952.90/19,431.99 = 7,408.90/x
  3. Step 3: Cross multiply
    12,952.90x = 19,431.99 × 7,408.90
  4. Step 4: Simplify right side
    12,952.90x = 143,969,670.71
  5. Step 5: Solve for x
    x = 143,969,670.71/12,952.90
  6. Step 6: Final answer
    x = 11,114.86

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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.