Home / 1,580.67-2,180.62-917.14

Finding the Fourth Proportional to 1,580.67, 2,180.62 and 917.14

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Solution

The fourth proportional to 1,580.67, 2,180.62 and 917.14 is: 1,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.67 : 2,180.62 = 917.14 : x
  2. Step 2: Convert to fraction form
    1,580.67/2,180.62 = 917.14/x
  3. Step 3: Cross multiply
    1,580.67x = 2,180.62 × 917.14
  4. Step 4: Simplify right side
    1,580.67x = 1,999,933.83
  5. Step 5: Solve for x
    x = 1,999,933.83/1,580.67
  6. Step 6: Final answer
    x = 1,265.24

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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.