Home / 3,470.31-5,205.03-971.70

Finding the Fourth Proportional to 3,470.31, 5,205.03 and 971.70

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Solution

The fourth proportional to 3,470.31, 5,205.03 and 971.70 is: 1,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.31 : 5,205.03 = 971.70 : x
  2. Step 2: Convert to fraction form
    3,470.31/5,205.03 = 971.70/x
  3. Step 3: Cross multiply
    3,470.31x = 5,205.03 × 971.70
  4. Step 4: Simplify right side
    3,470.31x = 5,057,727.65
  5. Step 5: Solve for x
    x = 5,057,727.65/3,470.31
  6. Step 6: Final answer
    x = 1,457.43

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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.