Home / 3,470.25-5,205.04-971.47

Finding the Fourth Proportional to 3,470.25, 5,205.04 and 971.47

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Solution

The fourth proportional to 3,470.25, 5,205.04 and 971.47 is: 1,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.25 : 5,205.04 = 971.47 : x
  2. Step 2: Convert to fraction form
    3,470.25/5,205.04 = 971.47/x
  3. Step 3: Cross multiply
    3,470.25x = 5,205.04 × 971.47
  4. Step 4: Simplify right side
    3,470.25x = 5,056,524.77
  5. Step 5: Solve for x
    x = 5,056,524.77/3,470.25
  6. Step 6: Final answer
    x = 1,457.11

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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.