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Finding the Fourth Proportional to 3,065.74, 4,595.41 and 1,420.93

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Solution

The fourth proportional to 3,065.74, 4,595.41 and 1,420.93 is: 2,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.74 : 4,595.41 = 1,420.93 : x
  2. Step 2: Convert to fraction form
    3,065.74/4,595.41 = 1,420.93/x
  3. Step 3: Cross multiply
    3,065.74x = 4,595.41 × 1,420.93
  4. Step 4: Simplify right side
    3,065.74x = 6,529,725.85
  5. Step 5: Solve for x
    x = 6,529,725.85/3,065.74
  6. Step 6: Final answer
    x = 2,129.91

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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.