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Finding the Fourth Proportional to 6,714.78, 10,075.05 and 3,788.70

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Solution

The fourth proportional to 6,714.78, 10,075.05 and 3,788.70 is: 5,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.78 : 10,075.05 = 3,788.70 : x
  2. Step 2: Convert to fraction form
    6,714.78/10,075.05 = 3,788.70/x
  3. Step 3: Cross multiply
    6,714.78x = 10,075.05 × 3,788.70
  4. Step 4: Simplify right side
    6,714.78x = 38,171,341.94
  5. Step 5: Solve for x
    x = 38,171,341.94/6,714.78
  6. Step 6: Final answer
    x = 5,684.67

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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.