Home / 2,820.51-4,230.87-971.61

Finding the Fourth Proportional to 2,820.51, 4,230.87 and 971.61

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Solution

The fourth proportional to 2,820.51, 4,230.87 and 971.61 is: 1,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.51 : 4,230.87 = 971.61 : x
  2. Step 2: Convert to fraction form
    2,820.51/4,230.87 = 971.61/x
  3. Step 3: Cross multiply
    2,820.51x = 4,230.87 × 971.61
  4. Step 4: Simplify right side
    2,820.51x = 4,110,755.60
  5. Step 5: Solve for x
    x = 4,110,755.60/2,820.51
  6. Step 6: Final answer
    x = 1,457.45

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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.