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Finding the Fourth Proportional to 5,621.99, 7,702.05 and 5,411.66

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Solution

The fourth proportional to 5,621.99, 7,702.05 and 5,411.66 is: 7,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.99 : 7,702.05 = 5,411.66 : x
  2. Step 2: Convert to fraction form
    5,621.99/7,702.05 = 5,411.66/x
  3. Step 3: Cross multiply
    5,621.99x = 7,702.05 × 5,411.66
  4. Step 4: Simplify right side
    5,621.99x = 41,680,895.16
  5. Step 5: Solve for x
    x = 41,680,895.16/5,621.99
  6. Step 6: Final answer
    x = 7,413.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.