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Finding the Fourth Proportional to 4,978.63, 6,870.68 and 2,740.65

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Solution

The fourth proportional to 4,978.63, 6,870.68 and 2,740.65 is: 3,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.63 : 6,870.68 = 2,740.65 : x
  2. Step 2: Convert to fraction form
    4,978.63/6,870.68 = 2,740.65/x
  3. Step 3: Cross multiply
    4,978.63x = 6,870.68 × 2,740.65
  4. Step 4: Simplify right side
    4,978.63x = 18,830,129.14
  5. Step 5: Solve for x
    x = 18,830,129.14/4,978.63
  6. Step 6: Final answer
    x = 3,782.19

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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.