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Finding the Fourth Proportional to 6,872.53, 9,491.83 and 4,643.61

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Solution

The fourth proportional to 6,872.53, 9,491.83 and 4,643.61 is: 6,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.53 : 9,491.83 = 4,643.61 : x
  2. Step 2: Convert to fraction form
    6,872.53/9,491.83 = 4,643.61/x
  3. Step 3: Cross multiply
    6,872.53x = 9,491.83 × 4,643.61
  4. Step 4: Simplify right side
    6,872.53x = 44,076,356.71
  5. Step 5: Solve for x
    x = 44,076,356.71/6,872.53
  6. Step 6: Final answer
    x = 6,413.41

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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.