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Finding the Fourth Proportional to 34,400.80, 51,594 and 12,214.88

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Solution

The fourth proportional to 34,400.80, 51,594 and 12,214.88 is: 18,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.80 : 51,594 = 12,214.88 : x
  2. Step 2: Convert to fraction form
    34,400.80/51,594 = 12,214.88/x
  3. Step 3: Cross multiply
    34,400.80x = 51,594 × 12,214.88
  4. Step 4: Simplify right side
    34,400.80x = 630,214,518.72
  5. Step 5: Solve for x
    x = 630,214,518.72/34,400.80
  6. Step 6: Final answer
    x = 18,319.76

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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.