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Finding the Fourth Proportional to 13,764.80, 18,994.86 and 7,477.04

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Solution

The fourth proportional to 13,764.80, 18,994.86 and 7,477.04 is: 10,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.80 : 18,994.86 = 7,477.04 : x
  2. Step 2: Convert to fraction form
    13,764.80/18,994.86 = 7,477.04/x
  3. Step 3: Cross multiply
    13,764.80x = 18,994.86 × 7,477.04
  4. Step 4: Simplify right side
    13,764.80x = 142,025,328.01
  5. Step 5: Solve for x
    x = 142,025,328.01/13,764.80
  6. Step 6: Final answer
    x = 10,318.01

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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.