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Finding the Fourth Proportional to 13,830, 19,085.40 and 7,542.42

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Solution

The fourth proportional to 13,830, 19,085.40 and 7,542.42 is: 10,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830 : 19,085.40 = 7,542.42 : x
  2. Step 2: Convert to fraction form
    13,830/19,085.40 = 7,542.42/x
  3. Step 3: Cross multiply
    13,830x = 19,085.40 × 7,542.42
  4. Step 4: Simplify right side
    13,830x = 143,950,102.67
  5. Step 5: Solve for x
    x = 143,950,102.67/13,830
  6. Step 6: Final answer
    x = 10,408.54

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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.