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Finding the Fourth Proportional to 30,898, 46,353.66 and 12,430

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Solution

The fourth proportional to 30,898, 46,353.66 and 12,430 is: 18,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898 : 46,353.66 = 12,430 : x
  2. Step 2: Convert to fraction form
    30,898/46,353.66 = 12,430/x
  3. Step 3: Cross multiply
    30,898x = 46,353.66 × 12,430
  4. Step 4: Simplify right side
    30,898x = 576,175,993.80
  5. Step 5: Solve for x
    x = 576,175,993.80/30,898
  6. Step 6: Final answer
    x = 18,647.68

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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.