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Finding the Fourth Proportional to 14,465.94, 19,963.02 and 8,178.31

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Solution

The fourth proportional to 14,465.94, 19,963.02 and 8,178.31 is: 11,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.94 : 19,963.02 = 8,178.31 : x
  2. Step 2: Convert to fraction form
    14,465.94/19,963.02 = 8,178.31/x
  3. Step 3: Cross multiply
    14,465.94x = 19,963.02 × 8,178.31
  4. Step 4: Simplify right side
    14,465.94x = 163,263,766.10
  5. Step 5: Solve for x
    x = 163,263,766.10/14,465.94
  6. Step 6: Final answer
    x = 11,286.08

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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.