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Finding the Fourth Proportional to 15,791.61, 21,782.67 and 9,413.91

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Solution

The fourth proportional to 15,791.61, 21,782.67 and 9,413.91 is: 12,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.61 : 21,782.67 = 9,413.91 : x
  2. Step 2: Convert to fraction form
    15,791.61/21,782.67 = 9,413.91/x
  3. Step 3: Cross multiply
    15,791.61x = 21,782.67 × 9,413.91
  4. Step 4: Simplify right side
    15,791.61x = 205,060,094.94
  5. Step 5: Solve for x
    x = 205,060,094.94/15,791.61
  6. Step 6: Final answer
    x = 12,985.38

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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.