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Finding the Fourth Proportional to 5,673.57, 7,828.37 and 3,315.26

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Solution

The fourth proportional to 5,673.57, 7,828.37 and 3,315.26 is: 4,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.57 : 7,828.37 = 3,315.26 : x
  2. Step 2: Convert to fraction form
    5,673.57/7,828.37 = 3,315.26/x
  3. Step 3: Cross multiply
    5,673.57x = 7,828.37 × 3,315.26
  4. Step 4: Simplify right side
    5,673.57x = 25,953,051.07
  5. Step 5: Solve for x
    x = 25,953,051.07/5,673.57
  6. Step 6: Final answer
    x = 4,574.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.