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Finding the Fourth Proportional to 9,987.69, 14,981.53 and 3,413.93

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Solution

The fourth proportional to 9,987.69, 14,981.53 and 3,413.93 is: 5,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.69 : 14,981.53 = 3,413.93 : x
  2. Step 2: Convert to fraction form
    9,987.69/14,981.53 = 3,413.93/x
  3. Step 3: Cross multiply
    9,987.69x = 14,981.53 × 3,413.93
  4. Step 4: Simplify right side
    9,987.69x = 51,145,911.54
  5. Step 5: Solve for x
    x = 51,145,911.54/9,987.69
  6. Step 6: Final answer
    x = 5,120.90

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1.5x scale

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.