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Finding the Fourth Proportional to 13,574.53, 18,742.01 and 8,477.83

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Solution

The fourth proportional to 13,574.53, 18,742.01 and 8,477.83 is: 11,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.53 : 18,742.01 = 8,477.83 : x
  2. Step 2: Convert to fraction form
    13,574.53/18,742.01 = 8,477.83/x
  3. Step 3: Cross multiply
    13,574.53x = 18,742.01 × 8,477.83
  4. Step 4: Simplify right side
    13,574.53x = 158,891,574.64
  5. Step 5: Solve for x
    x = 158,891,574.64/13,574.53
  6. Step 6: Final answer
    x = 11,705.13

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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.