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Finding the Fourth Proportional to 4,590.42, 6,880.72 and 1,815.90

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Solution

The fourth proportional to 4,590.42, 6,880.72 and 1,815.90 is: 2,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.42 : 6,880.72 = 1,815.90 : x
  2. Step 2: Convert to fraction form
    4,590.42/6,880.72 = 1,815.90/x
  3. Step 3: Cross multiply
    4,590.42x = 6,880.72 × 1,815.90
  4. Step 4: Simplify right side
    4,590.42x = 12,494,699.45
  5. Step 5: Solve for x
    x = 12,494,699.45/4,590.42
  6. Step 6: Final answer
    x = 2,721.91

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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.