Home / 2,014.47-3,020.54-917.78

Finding the Fourth Proportional to 2,014.47, 3,020.54 and 917.78

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Solution

The fourth proportional to 2,014.47, 3,020.54 and 917.78 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.47 : 3,020.54 = 917.78 : x
  2. Step 2: Convert to fraction form
    2,014.47/3,020.54 = 917.78/x
  3. Step 3: Cross multiply
    2,014.47x = 3,020.54 × 917.78
  4. Step 4: Simplify right side
    2,014.47x = 2,772,193.66
  5. Step 5: Solve for x
    x = 2,772,193.66/2,014.47
  6. Step 6: Final answer
    x = 1,376.14

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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.