Home / 2,009.54-3,014.28-1,142

Finding the Fourth Proportional to 2,009.54, 3,014.28 and 1,142

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Solution

The fourth proportional to 2,009.54, 3,014.28 and 1,142 is: 1,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.54 : 3,014.28 = 1,142 : x
  2. Step 2: Convert to fraction form
    2,009.54/3,014.28 = 1,142/x
  3. Step 3: Cross multiply
    2,009.54x = 3,014.28 × 1,142
  4. Step 4: Simplify right side
    2,009.54x = 3,442,307.76
  5. Step 5: Solve for x
    x = 3,442,307.76/2,009.54
  6. Step 6: Final answer
    x = 1,712.98

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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.