Home / 2,820.60-4,231.08-971.88

Finding the Fourth Proportional to 2,820.60, 4,231.08 and 971.88

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Solution

The fourth proportional to 2,820.60, 4,231.08 and 971.88 is: 1,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.60 : 4,231.08 = 971.88 : x
  2. Step 2: Convert to fraction form
    2,820.60/4,231.08 = 971.88/x
  3. Step 3: Cross multiply
    2,820.60x = 4,231.08 × 971.88
  4. Step 4: Simplify right side
    2,820.60x = 4,112,102.03
  5. Step 5: Solve for x
    x = 4,112,102.03/2,820.60
  6. Step 6: Final answer
    x = 1,457.88

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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.