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Finding the Fourth Proportional to 14,413.60, 19,871 and 9,105.76

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Solution

The fourth proportional to 14,413.60, 19,871 and 9,105.76 is: 12,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.60 : 19,871 = 9,105.76 : x
  2. Step 2: Convert to fraction form
    14,413.60/19,871 = 9,105.76/x
  3. Step 3: Cross multiply
    14,413.60x = 19,871 × 9,105.76
  4. Step 4: Simplify right side
    14,413.60x = 180,940,556.96
  5. Step 5: Solve for x
    x = 180,940,556.96/14,413.60
  6. Step 6: Final answer
    x = 12,553.46

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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.