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Finding the Fourth Proportional to 56,518, 84,777 and 19,582

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Solution

The fourth proportional to 56,518, 84,777 and 19,582 is: 29,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,518 : 84,777 = 19,582 : x
  2. Step 2: Convert to fraction form
    56,518/84,777 = 19,582/x
  3. Step 3: Cross multiply
    56,518x = 84,777 × 19,582
  4. Step 4: Simplify right side
    56,518x = 1,660,103,214
  5. Step 5: Solve for x
    x = 1,660,103,214/56,518
  6. Step 6: Final answer
    x = 29,373

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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.