Home / 2,030.78-2,802.32-1,146.66

Finding the Fourth Proportional to 2,030.78, 2,802.32 and 1,146.66

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Solution

The fourth proportional to 2,030.78, 2,802.32 and 1,146.66 is: 1,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.78 : 2,802.32 = 1,146.66 : x
  2. Step 2: Convert to fraction form
    2,030.78/2,802.32 = 1,146.66/x
  3. Step 3: Cross multiply
    2,030.78x = 2,802.32 × 1,146.66
  4. Step 4: Simplify right side
    2,030.78x = 3,213,308.25
  5. Step 5: Solve for x
    x = 3,213,308.25/2,030.78
  6. Step 6: Final answer
    x = 1,582.30

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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.