Home / 2,830.10-4,244.34-981.14

Finding the Fourth Proportional to 2,830.10, 4,244.34 and 981.14

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Solution

The fourth proportional to 2,830.10, 4,244.34 and 981.14 is: 1,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.10 : 4,244.34 = 981.14 : x
  2. Step 2: Convert to fraction form
    2,830.10/4,244.34 = 981.14/x
  3. Step 3: Cross multiply
    2,830.10x = 4,244.34 × 981.14
  4. Step 4: Simplify right side
    2,830.10x = 4,164,291.75
  5. Step 5: Solve for x
    x = 4,164,291.75/2,830.10
  6. Step 6: Final answer
    x = 1,471.43

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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.