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Finding the Fourth Proportional to 13,408.54, 18,506.00 and 7,442.12

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Solution

The fourth proportional to 13,408.54, 18,506.00 and 7,442.12 is: 10,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.54 : 18,506.00 = 7,442.12 : x
  2. Step 2: Convert to fraction form
    13,408.54/18,506.00 = 7,442.12/x
  3. Step 3: Cross multiply
    13,408.54x = 18,506.00 × 7,442.12
  4. Step 4: Simplify right side
    13,408.54x = 137,723,937.59
  5. Step 5: Solve for x
    x = 137,723,937.59/13,408.54
  6. Step 6: Final answer
    x = 10,271.36

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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.