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Finding the Fourth Proportional to 14,356.64, 19,812.24 and 8,069.12

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Solution

The fourth proportional to 14,356.64, 19,812.24 and 8,069.12 is: 11,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.64 : 19,812.24 = 8,069.12 : x
  2. Step 2: Convert to fraction form
    14,356.64/19,812.24 = 8,069.12/x
  3. Step 3: Cross multiply
    14,356.64x = 19,812.24 × 8,069.12
  4. Step 4: Simplify right side
    14,356.64x = 159,867,342.03
  5. Step 5: Solve for x
    x = 159,867,342.03/14,356.64
  6. Step 6: Final answer
    x = 11,135.43

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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.