Home / 2,287.77-3,432.26-971.57

Finding the Fourth Proportional to 2,287.77, 3,432.26 and 971.57

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Solution

The fourth proportional to 2,287.77, 3,432.26 and 971.57 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.77 : 3,432.26 = 971.57 : x
  2. Step 2: Convert to fraction form
    2,287.77/3,432.26 = 971.57/x
  3. Step 3: Cross multiply
    2,287.77x = 3,432.26 × 971.57
  4. Step 4: Simplify right side
    2,287.77x = 3,334,684.57
  5. Step 5: Solve for x
    x = 3,334,684.57/2,287.77
  6. Step 6: Final answer
    x = 1,457.61

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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.