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Finding the Fourth Proportional to 5,804.38, 8,706.48 and 1,421.87

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Solution

The fourth proportional to 5,804.38, 8,706.48 and 1,421.87 is: 2,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.38 : 8,706.48 = 1,421.87 : x
  2. Step 2: Convert to fraction form
    5,804.38/8,706.48 = 1,421.87/x
  3. Step 3: Cross multiply
    5,804.38x = 8,706.48 × 1,421.87
  4. Step 4: Simplify right side
    5,804.38x = 12,379,482.72
  5. Step 5: Solve for x
    x = 12,379,482.72/5,804.38
  6. Step 6: Final answer
    x = 2,132.78

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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.