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Finding the Fourth Proportional to 56,394, 84,591 and 19,458

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Solution

The fourth proportional to 56,394, 84,591 and 19,458 is: 29,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394 : 84,591 = 19,458 : x
  2. Step 2: Convert to fraction form
    56,394/84,591 = 19,458/x
  3. Step 3: Cross multiply
    56,394x = 84,591 × 19,458
  4. Step 4: Simplify right side
    56,394x = 1,645,971,678
  5. Step 5: Solve for x
    x = 1,645,971,678/56,394
  6. Step 6: Final answer
    x = 29,187

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.