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Finding the Fourth Proportional to 4,611.13, 6,917.40 and 1,978.63

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Solution

The fourth proportional to 4,611.13, 6,917.40 and 1,978.63 is: 2,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.13 : 6,917.40 = 1,978.63 : x
  2. Step 2: Convert to fraction form
    4,611.13/6,917.40 = 1,978.63/x
  3. Step 3: Cross multiply
    4,611.13x = 6,917.40 × 1,978.63
  4. Step 4: Simplify right side
    4,611.13x = 13,686,957.87
  5. Step 5: Solve for x
    x = 13,686,957.87/4,611.13
  6. Step 6: Final answer
    x = 2,968.25

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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.