Home / 3,106.08-4,656.96-1,566

Finding the Fourth Proportional to 3,106.08, 4,656.96 and 1,566

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Solution

The fourth proportional to 3,106.08, 4,656.96 and 1,566 is: 2,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.08 : 4,656.96 = 1,566 : x
  2. Step 2: Convert to fraction form
    3,106.08/4,656.96 = 1,566/x
  3. Step 3: Cross multiply
    3,106.08x = 4,656.96 × 1,566
  4. Step 4: Simplify right side
    3,106.08x = 7,292,799.36
  5. Step 5: Solve for x
    x = 7,292,799.36/3,106.08
  6. Step 6: Final answer
    x = 2,347.91

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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.