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Finding the Fourth Proportional to 14,382.84, 19,857.42 and 9,905.16

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Solution

The fourth proportional to 14,382.84, 19,857.42 and 9,905.16 is: 13,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.84 : 19,857.42 = 9,905.16 : x
  2. Step 2: Convert to fraction form
    14,382.84/19,857.42 = 9,905.16/x
  3. Step 3: Cross multiply
    14,382.84x = 19,857.42 × 9,905.16
  4. Step 4: Simplify right side
    14,382.84x = 196,690,922.29
  5. Step 5: Solve for x
    x = 196,690,922.29/14,382.84
  6. Step 6: Final answer
    x = 13,675.39

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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.