Home / 3,133.15-4,698.78-942.10

Finding the Fourth Proportional to 3,133.15, 4,698.78 and 942.10

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Solution

The fourth proportional to 3,133.15, 4,698.78 and 942.10 is: 1,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.15 : 4,698.78 = 942.10 : x
  2. Step 2: Convert to fraction form
    3,133.15/4,698.78 = 942.10/x
  3. Step 3: Cross multiply
    3,133.15x = 4,698.78 × 942.10
  4. Step 4: Simplify right side
    3,133.15x = 4,426,720.64
  5. Step 5: Solve for x
    x = 4,426,720.64/3,133.15
  6. Step 6: Final answer
    x = 1,412.87

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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.