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Finding the Fourth Proportional to 2,604.65, 3,907.56 and 1,875.65

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Solution

The fourth proportional to 2,604.65, 3,907.56 and 1,875.65 is: 2,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.65 : 3,907.56 = 1,875.65 : x
  2. Step 2: Convert to fraction form
    2,604.65/3,907.56 = 1,875.65/x
  3. Step 3: Cross multiply
    2,604.65x = 3,907.56 × 1,875.65
  4. Step 4: Simplify right side
    2,604.65x = 7,329,195.38
  5. Step 5: Solve for x
    x = 7,329,195.38/2,604.65
  6. Step 6: Final answer
    x = 2,813.89

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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.