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Finding the Fourth Proportional to 2,030.79, 3,043.74 and 989.24

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Solution

The fourth proportional to 2,030.79, 3,043.74 and 989.24 is: 1,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.79 : 3,043.74 = 989.24 : x
  2. Step 2: Convert to fraction form
    2,030.79/3,043.74 = 989.24/x
  3. Step 3: Cross multiply
    2,030.79x = 3,043.74 × 989.24
  4. Step 4: Simplify right side
    2,030.79x = 3,010,969.19
  5. Step 5: Solve for x
    x = 3,010,969.19/2,030.79
  6. Step 6: Final answer
    x = 1,482.66

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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.