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Finding the Fourth Proportional to 9,890.96, 14,840.34 and 4,340.44

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Solution

The fourth proportional to 9,890.96, 14,840.34 and 4,340.44 is: 6,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.96 : 14,840.34 = 4,340.44 : x
  2. Step 2: Convert to fraction form
    9,890.96/14,840.34 = 4,340.44/x
  3. Step 3: Cross multiply
    9,890.96x = 14,840.34 × 4,340.44
  4. Step 4: Simplify right side
    9,890.96x = 64,413,605.35
  5. Step 5: Solve for x
    x = 64,413,605.35/9,890.96
  6. Step 6: Final answer
    x = 6,512.37

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1.5x scale

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.