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Finding the Fourth Proportional to 30,848, 46,274.16 and 12,380

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Solution

The fourth proportional to 30,848, 46,274.16 and 12,380 is: 18,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848 : 46,274.16 = 12,380 : x
  2. Step 2: Convert to fraction form
    30,848/46,274.16 = 12,380/x
  3. Step 3: Cross multiply
    30,848x = 46,274.16 × 12,380
  4. Step 4: Simplify right side
    30,848x = 572,874,100.80
  5. Step 5: Solve for x
    x = 572,874,100.80/30,848
  6. Step 6: Final answer
    x = 18,570.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.