Home / 3,314.09-4,971.14-1,582.31

Finding the Fourth Proportional to 3,314.09, 4,971.14 and 1,582.31

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Solution

The fourth proportional to 3,314.09, 4,971.14 and 1,582.31 is: 2,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.09 : 4,971.14 = 1,582.31 : x
  2. Step 2: Convert to fraction form
    3,314.09/4,971.14 = 1,582.31/x
  3. Step 3: Cross multiply
    3,314.09x = 4,971.14 × 1,582.31
  4. Step 4: Simplify right side
    3,314.09x = 7,865,884.53
  5. Step 5: Solve for x
    x = 7,865,884.53/3,314.09
  6. Step 6: Final answer
    x = 2,373.47

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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.