Home / 4,206.25-6,309.35-1,284.51

Finding the Fourth Proportional to 4,206.25, 6,309.35 and 1,284.51

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Solution

The fourth proportional to 4,206.25, 6,309.35 and 1,284.51 is: 1,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.25 : 6,309.35 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    4,206.25/6,309.35 = 1,284.51/x
  3. Step 3: Cross multiply
    4,206.25x = 6,309.35 × 1,284.51
  4. Step 4: Simplify right side
    4,206.25x = 8,104,423.17
  5. Step 5: Solve for x
    x = 8,104,423.17/4,206.25
  6. Step 6: Final answer
    x = 1,926.76

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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.