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Finding the Fourth Proportional to 14,357.25, 19,811.45 and 8,388.16

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Solution

The fourth proportional to 14,357.25, 19,811.45 and 8,388.16 is: 11,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.25 : 19,811.45 = 8,388.16 : x
  2. Step 2: Convert to fraction form
    14,357.25/19,811.45 = 8,388.16/x
  3. Step 3: Cross multiply
    14,357.25x = 19,811.45 × 8,388.16
  4. Step 4: Simplify right side
    14,357.25x = 166,181,583.87
  5. Step 5: Solve for x
    x = 166,181,583.87/14,357.25
  6. Step 6: Final answer
    x = 11,574.75

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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.