Home / 1,580.06-2,180.69-917.12

Finding the Fourth Proportional to 1,580.06, 2,180.69 and 917.12

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Solution

The fourth proportional to 1,580.06, 2,180.69 and 917.12 is: 1,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.06 : 2,180.69 = 917.12 : x
  2. Step 2: Convert to fraction form
    1,580.06/2,180.69 = 917.12/x
  3. Step 3: Cross multiply
    1,580.06x = 2,180.69 × 917.12
  4. Step 4: Simplify right side
    1,580.06x = 1,999,954.41
  5. Step 5: Solve for x
    x = 1,999,954.41/1,580.06
  6. Step 6: Final answer
    x = 1,265.75

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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.