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Finding the Fourth Proportional to 12,670, 19,005.36 and 3,436

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Solution

The fourth proportional to 12,670, 19,005.36 and 3,436 is: 5,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670 : 19,005.36 = 3,436 : x
  2. Step 2: Convert to fraction form
    12,670/19,005.36 = 3,436/x
  3. Step 3: Cross multiply
    12,670x = 19,005.36 × 3,436
  4. Step 4: Simplify right side
    12,670x = 65,302,416.96
  5. Step 5: Solve for x
    x = 65,302,416.96/12,670
  6. Step 6: Final answer
    x = 5,154.10

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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.