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Finding the Fourth Proportional to 13,647.72, 18,834.66 and 7,679.64

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Solution

The fourth proportional to 13,647.72, 18,834.66 and 7,679.64 is: 10,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.72 : 18,834.66 = 7,679.64 : x
  2. Step 2: Convert to fraction form
    13,647.72/18,834.66 = 7,679.64/x
  3. Step 3: Cross multiply
    13,647.72x = 18,834.66 × 7,679.64
  4. Step 4: Simplify right side
    13,647.72x = 144,643,408.32
  5. Step 5: Solve for x
    x = 144,643,408.32/13,647.72
  6. Step 6: Final answer
    x = 10,598.36

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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.