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Finding the Fourth Proportional to 14,111.70, 21,174.71 and 6,714.78

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Solution

The fourth proportional to 14,111.70, 21,174.71 and 6,714.78 is: 10,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.70 : 21,174.71 = 6,714.78 : x
  2. Step 2: Convert to fraction form
    14,111.70/21,174.71 = 6,714.78/x
  3. Step 3: Cross multiply
    14,111.70x = 21,174.71 × 6,714.78
  4. Step 4: Simplify right side
    14,111.70x = 142,183,485.64
  5. Step 5: Solve for x
    x = 142,183,485.64/14,111.70
  6. Step 6: Final answer
    x = 10,075.57

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1.5x scale

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.