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Finding the Fourth Proportional to 52,518, 78,777 and 15,582

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Solution

The fourth proportional to 52,518, 78,777 and 15,582 is: 23,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518 : 78,777 = 15,582 : x
  2. Step 2: Convert to fraction form
    52,518/78,777 = 15,582/x
  3. Step 3: Cross multiply
    52,518x = 78,777 × 15,582
  4. Step 4: Simplify right side
    52,518x = 1,227,503,214
  5. Step 5: Solve for x
    x = 1,227,503,214/52,518
  6. Step 6: Final answer
    x = 23,373

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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.