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Finding the Fourth Proportional to 4,051.69, 6,078.17 and 1,419.93

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Solution

The fourth proportional to 4,051.69, 6,078.17 and 1,419.93 is: 2,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.69 : 6,078.17 = 1,419.93 : x
  2. Step 2: Convert to fraction form
    4,051.69/6,078.17 = 1,419.93/x
  3. Step 3: Cross multiply
    4,051.69x = 6,078.17 × 1,419.93
  4. Step 4: Simplify right side
    4,051.69x = 8,630,579.48
  5. Step 5: Solve for x
    x = 8,630,579.48/4,051.69
  6. Step 6: Final answer
    x = 2,130.12

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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.