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Finding the Fourth Proportional to 2,907, 4,362.42 and 1,368.12

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Solution

The fourth proportional to 2,907, 4,362.42 and 1,368.12 is: 2,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,362.42 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    2,907/4,362.42 = 1,368.12/x
  3. Step 3: Cross multiply
    2,907x = 4,362.42 × 1,368.12
  4. Step 4: Simplify right side
    2,907x = 5,968,314.05
  5. Step 5: Solve for x
    x = 5,968,314.05/2,907
  6. Step 6: Final answer
    x = 2,053.08

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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.