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Finding the Fourth Proportional to 34,518, 51,777.18 and 9,894

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Solution

The fourth proportional to 34,518, 51,777.18 and 9,894 is: 14,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518 : 51,777.18 = 9,894 : x
  2. Step 2: Convert to fraction form
    34,518/51,777.18 = 9,894/x
  3. Step 3: Cross multiply
    34,518x = 51,777.18 × 9,894
  4. Step 4: Simplify right side
    34,518x = 512,283,418.92
  5. Step 5: Solve for x
    x = 512,283,418.92/34,518
  6. Step 6: Final answer
    x = 14,841.05

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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.