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Finding the Fourth Proportional to 1,911.40, 2,864.40 and 1,413.93

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Solution

The fourth proportional to 1,911.40, 2,864.40 and 1,413.93 is: 2,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.40 : 2,864.40 = 1,413.93 : x
  2. Step 2: Convert to fraction form
    1,911.40/2,864.40 = 1,413.93/x
  3. Step 3: Cross multiply
    1,911.40x = 2,864.40 × 1,413.93
  4. Step 4: Simplify right side
    1,911.40x = 4,050,061.09
  5. Step 5: Solve for x
    x = 4,050,061.09/1,911.40
  6. Step 6: Final answer
    x = 2,118.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.