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Finding the Fourth Proportional to 4,977, 6,870.42 and 3,115.08

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Solution

The fourth proportional to 4,977, 6,870.42 and 3,115.08 is: 4,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 6,870.42 = 3,115.08 : x
  2. Step 2: Convert to fraction form
    4,977/6,870.42 = 3,115.08/x
  3. Step 3: Cross multiply
    4,977x = 6,870.42 × 3,115.08
  4. Step 4: Simplify right side
    4,977x = 21,401,907.93
  5. Step 5: Solve for x
    x = 21,401,907.93/4,977
  6. Step 6: Final answer
    x = 4,300.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.