Home / 2,971.86-4,458.47-1,584.47

Finding the Fourth Proportional to 2,971.86, 4,458.47 and 1,584.47

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Solution

The fourth proportional to 2,971.86, 4,458.47 and 1,584.47 is: 2,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.86 : 4,458.47 = 1,584.47 : x
  2. Step 2: Convert to fraction form
    2,971.86/4,458.47 = 1,584.47/x
  3. Step 3: Cross multiply
    2,971.86x = 4,458.47 × 1,584.47
  4. Step 4: Simplify right side
    2,971.86x = 7,064,311.96
  5. Step 5: Solve for x
    x = 7,064,311.96/2,971.86
  6. Step 6: Final answer
    x = 2,377.07

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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.