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Finding the Fourth Proportional to 9,682.40, 14,555.60 and 8,415.20

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Solution

The fourth proportional to 9,682.40, 14,555.60 and 8,415.20 is: 12,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.40 : 14,555.60 = 8,415.20 : x
  2. Step 2: Convert to fraction form
    9,682.40/14,555.60 = 8,415.20/x
  3. Step 3: Cross multiply
    9,682.40x = 14,555.60 × 8,415.20
  4. Step 4: Simplify right side
    9,682.40x = 122,488,285.12
  5. Step 5: Solve for x
    x = 122,488,285.12/9,682.40
  6. Step 6: Final answer
    x = 12,650.61

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Half scale
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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.