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Finding the Fourth Proportional to 14,476.80, 19,978.56 and 8,889.60

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Solution

The fourth proportional to 14,476.80, 19,978.56 and 8,889.60 is: 12,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.80 : 19,978.56 = 8,889.60 : x
  2. Step 2: Convert to fraction form
    14,476.80/19,978.56 = 8,889.60/x
  3. Step 3: Cross multiply
    14,476.80x = 19,978.56 × 8,889.60
  4. Step 4: Simplify right side
    14,476.80x = 177,601,406.98
  5. Step 5: Solve for x
    x = 177,601,406.98/14,476.80
  6. Step 6: Final answer
    x = 12,268.00

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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.