Home / 1,413.67-2,118.15-1,000.75

Finding the Fourth Proportional to 1,413.67, 2,118.15 and 1,000.75

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Solution

The fourth proportional to 1,413.67, 2,118.15 and 1,000.75 is: 1,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.67 : 2,118.15 = 1,000.75 : x
  2. Step 2: Convert to fraction form
    1,413.67/2,118.15 = 1,000.75/x
  3. Step 3: Cross multiply
    1,413.67x = 2,118.15 × 1,000.75
  4. Step 4: Simplify right side
    1,413.67x = 2,119,738.61
  5. Step 5: Solve for x
    x = 2,119,738.61/1,413.67
  6. Step 6: Final answer
    x = 1,499.46

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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.