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Finding the Fourth Proportional to 3,603.39, 5,405.13 and 1,413.15

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Solution

The fourth proportional to 3,603.39, 5,405.13 and 1,413.15 is: 2,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.39 : 5,405.13 = 1,413.15 : x
  2. Step 2: Convert to fraction form
    3,603.39/5,405.13 = 1,413.15/x
  3. Step 3: Cross multiply
    3,603.39x = 5,405.13 × 1,413.15
  4. Step 4: Simplify right side
    3,603.39x = 7,638,259.46
  5. Step 5: Solve for x
    x = 7,638,259.46/3,603.39
  6. Step 6: Final answer
    x = 2,119.74

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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.