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Finding the Fourth Proportional to 13,840.92, 20,762.46 and 4,477.50

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Solution

The fourth proportional to 13,840.92, 20,762.46 and 4,477.50 is: 6,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.92 : 20,762.46 = 4,477.50 : x
  2. Step 2: Convert to fraction form
    13,840.92/20,762.46 = 4,477.50/x
  3. Step 3: Cross multiply
    13,840.92x = 20,762.46 × 4,477.50
  4. Step 4: Simplify right side
    13,840.92x = 92,963,914.65
  5. Step 5: Solve for x
    x = 92,963,914.65/13,840.92
  6. Step 6: Final answer
    x = 6,716.60

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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.