Home / 4,127-6,184.88-1,904.54

Finding the Fourth Proportional to 4,127, 6,184.88 and 1,904.54

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Solution

The fourth proportional to 4,127, 6,184.88 and 1,904.54 is: 2,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127 : 6,184.88 = 1,904.54 : x
  2. Step 2: Convert to fraction form
    4,127/6,184.88 = 1,904.54/x
  3. Step 3: Cross multiply
    4,127x = 6,184.88 × 1,904.54
  4. Step 4: Simplify right side
    4,127x = 11,779,351.36
  5. Step 5: Solve for x
    x = 11,779,351.36/4,127
  6. Step 6: Final answer
    x = 2,854.22

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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.