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Finding the Fourth Proportional to 9,696.40, 14,576.60 and 8,429.20

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Solution

The fourth proportional to 9,696.40, 14,576.60 and 8,429.20 is: 12,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.40 : 14,576.60 = 8,429.20 : x
  2. Step 2: Convert to fraction form
    9,696.40/14,576.60 = 8,429.20/x
  3. Step 3: Cross multiply
    9,696.40x = 14,576.60 × 8,429.20
  4. Step 4: Simplify right side
    9,696.40x = 122,869,076.72
  5. Step 5: Solve for x
    x = 122,869,076.72/9,696.40
  6. Step 6: Final answer
    x = 12,671.62

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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.