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Finding the Fourth Proportional to 30,792.96, 46,189.44 and 12,312

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Solution

The fourth proportional to 30,792.96, 46,189.44 and 12,312 is: 18,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.96 : 46,189.44 = 12,312 : x
  2. Step 2: Convert to fraction form
    30,792.96/46,189.44 = 12,312/x
  3. Step 3: Cross multiply
    30,792.96x = 46,189.44 × 12,312
  4. Step 4: Simplify right side
    30,792.96x = 568,684,385.28
  5. Step 5: Solve for x
    x = 568,684,385.28/30,792.96
  6. Step 6: Final answer
    x = 18,468

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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.