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Finding the Fourth Proportional to 14,232.64, 19,640.03 and 7,858.20

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Solution

The fourth proportional to 14,232.64, 19,640.03 and 7,858.20 is: 10,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.64 : 19,640.03 = 7,858.20 : x
  2. Step 2: Convert to fraction form
    14,232.64/19,640.03 = 7,858.20/x
  3. Step 3: Cross multiply
    14,232.64x = 19,640.03 × 7,858.20
  4. Step 4: Simplify right side
    14,232.64x = 154,335,283.75
  5. Step 5: Solve for x
    x = 154,335,283.75/14,232.64
  6. Step 6: Final answer
    x = 10,843.76

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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.