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Finding the Fourth Proportional to 5,612.40, 8,413.20 and 5,029.20

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Solution

The fourth proportional to 5,612.40, 8,413.20 and 5,029.20 is: 7,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.40 : 8,413.20 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    5,612.40/8,413.20 = 5,029.20/x
  3. Step 3: Cross multiply
    5,612.40x = 8,413.20 × 5,029.20
  4. Step 4: Simplify right side
    5,612.40x = 42,311,665.44
  5. Step 5: Solve for x
    x = 42,311,665.44/5,612.40
  6. Step 6: Final answer
    x = 7,538.96

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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.