Home / 2,971.24-4,102.18-1,909.48

Finding the Fourth Proportional to 2,971.24, 4,102.18 and 1,909.48

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Solution

The fourth proportional to 2,971.24, 4,102.18 and 1,909.48 is: 2,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.24 : 4,102.18 = 1,909.48 : x
  2. Step 2: Convert to fraction form
    2,971.24/4,102.18 = 1,909.48/x
  3. Step 3: Cross multiply
    2,971.24x = 4,102.18 × 1,909.48
  4. Step 4: Simplify right side
    2,971.24x = 7,833,030.67
  5. Step 5: Solve for x
    x = 7,833,030.67/2,971.24
  6. Step 6: Final answer
    x = 2,636.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.