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Finding the Fourth Proportional to 8,995, 12,413.42 and 5,269.24

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Solution

The fourth proportional to 8,995, 12,413.42 and 5,269.24 is: 7,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995 : 12,413.42 = 5,269.24 : x
  2. Step 2: Convert to fraction form
    8,995/12,413.42 = 5,269.24/x
  3. Step 3: Cross multiply
    8,995x = 12,413.42 × 5,269.24
  4. Step 4: Simplify right side
    8,995x = 65,409,289.20
  5. Step 5: Solve for x
    x = 65,409,289.20/8,995
  6. Step 6: Final answer
    x = 7,271.74

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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.