Home / 3,106-4,657.48-1,461.16

Finding the Fourth Proportional to 3,106, 4,657.48 and 1,461.16

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Solution

The fourth proportional to 3,106, 4,657.48 and 1,461.16 is: 2,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,657.48 = 1,461.16 : x
  2. Step 2: Convert to fraction form
    3,106/4,657.48 = 1,461.16/x
  3. Step 3: Cross multiply
    3,106x = 4,657.48 × 1,461.16
  4. Step 4: Simplify right side
    3,106x = 6,805,323.48
  5. Step 5: Solve for x
    x = 6,805,323.48/3,106
  6. Step 6: Final answer
    x = 2,191.02

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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.