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Finding the Fourth Proportional to 14,340, 19,792.40 and 10,111.80

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Solution

The fourth proportional to 14,340, 19,792.40 and 10,111.80 is: 13,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 19,792.40 = 10,111.80 : x
  2. Step 2: Convert to fraction form
    14,340/19,792.40 = 10,111.80/x
  3. Step 3: Cross multiply
    14,340x = 19,792.40 × 10,111.80
  4. Step 4: Simplify right side
    14,340x = 200,136,790.32
  5. Step 5: Solve for x
    x = 200,136,790.32/14,340
  6. Step 6: Final answer
    x = 13,956.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.