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Finding the Fourth Proportional to 14,138.50, 19,511.94 and 7,851.28

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Solution

The fourth proportional to 14,138.50, 19,511.94 and 7,851.28 is: 10,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.50 : 19,511.94 = 7,851.28 : x
  2. Step 2: Convert to fraction form
    14,138.50/19,511.94 = 7,851.28/x
  3. Step 3: Cross multiply
    14,138.50x = 19,511.94 × 7,851.28
  4. Step 4: Simplify right side
    14,138.50x = 153,193,704.28
  5. Step 5: Solve for x
    x = 153,193,704.28/14,138.50
  6. Step 6: Final answer
    x = 10,835.22

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1.5x scale

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.