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Finding the Fourth Proportional to 6,907.65, 10,361.84 and 1,978.02

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Solution

The fourth proportional to 6,907.65, 10,361.84 and 1,978.02 is: 2,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.65 : 10,361.84 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    6,907.65/10,361.84 = 1,978.02/x
  3. Step 3: Cross multiply
    6,907.65x = 10,361.84 × 1,978.02
  4. Step 4: Simplify right side
    6,907.65x = 20,495,926.76
  5. Step 5: Solve for x
    x = 20,495,926.76/6,907.65
  6. Step 6: Final answer
    x = 2,967.13

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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.