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Finding the Fourth Proportional to 12,897.90, 17,784.90 and 8,413.20

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Solution

The fourth proportional to 12,897.90, 17,784.90 and 8,413.20 is: 11,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.90 : 17,784.90 = 8,413.20 : x
  2. Step 2: Convert to fraction form
    12,897.90/17,784.90 = 8,413.20/x
  3. Step 3: Cross multiply
    12,897.90x = 17,784.90 × 8,413.20
  4. Step 4: Simplify right side
    12,897.90x = 149,627,920.68
  5. Step 5: Solve for x
    x = 149,627,920.68/12,897.90
  6. Step 6: Final answer
    x = 11,600.95

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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.