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Finding the Fourth Proportional to 13,408.90, 18,505.16 and 7,743.89

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Solution

The fourth proportional to 13,408.90, 18,505.16 and 7,743.89 is: 10,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.90 : 18,505.16 = 7,743.89 : x
  2. Step 2: Convert to fraction form
    13,408.90/18,505.16 = 7,743.89/x
  3. Step 3: Cross multiply
    13,408.90x = 18,505.16 × 7,743.89
  4. Step 4: Simplify right side
    13,408.90x = 143,301,899.52
  5. Step 5: Solve for x
    x = 143,301,899.52/13,408.90
  6. Step 6: Final answer
    x = 10,687.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.