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Finding the Fourth Proportional to 12,098.21, 18,149.88 and 4,307

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Solution

The fourth proportional to 12,098.21, 18,149.88 and 4,307 is: 6,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.21 : 18,149.88 = 4,307 : x
  2. Step 2: Convert to fraction form
    12,098.21/18,149.88 = 4,307/x
  3. Step 3: Cross multiply
    12,098.21x = 18,149.88 × 4,307
  4. Step 4: Simplify right side
    12,098.21x = 78,171,533.16
  5. Step 5: Solve for x
    x = 78,171,533.16/12,098.21
  6. Step 6: Final answer
    x = 6,461.41

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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.