Home / 2,820.67-4,230.07-971.74

Finding the Fourth Proportional to 2,820.67, 4,230.07 and 971.74

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Solution

The fourth proportional to 2,820.67, 4,230.07 and 971.74 is: 1,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.67 : 4,230.07 = 971.74 : x
  2. Step 2: Convert to fraction form
    2,820.67/4,230.07 = 971.74/x
  3. Step 3: Cross multiply
    2,820.67x = 4,230.07 × 971.74
  4. Step 4: Simplify right side
    2,820.67x = 4,110,528.22
  5. Step 5: Solve for x
    x = 4,110,528.22/2,820.67
  6. Step 6: Final answer
    x = 1,457.29

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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.