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Finding the Fourth Proportional to 14,394.83, 19,869.84 and 8,428.42

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Solution

The fourth proportional to 14,394.83, 19,869.84 and 8,428.42 is: 11,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.83 : 19,869.84 = 8,428.42 : x
  2. Step 2: Convert to fraction form
    14,394.83/19,869.84 = 8,428.42/x
  3. Step 3: Cross multiply
    14,394.83x = 19,869.84 × 8,428.42
  4. Step 4: Simplify right side
    14,394.83x = 167,471,307.18
  5. Step 5: Solve for x
    x = 167,471,307.18/14,394.83
  6. Step 6: Final answer
    x = 11,634.13

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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.