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Finding the Fourth Proportional to 6,419.76, 9,629.50 and 2,957.01

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Solution

The fourth proportional to 6,419.76, 9,629.50 and 2,957.01 is: 4,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.76 : 9,629.50 = 2,957.01 : x
  2. Step 2: Convert to fraction form
    6,419.76/9,629.50 = 2,957.01/x
  3. Step 3: Cross multiply
    6,419.76x = 9,629.50 × 2,957.01
  4. Step 4: Simplify right side
    6,419.76x = 28,474,489.84
  5. Step 5: Solve for x
    x = 28,474,489.84/6,419.76
  6. Step 6: Final answer
    x = 4,435.45

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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.