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Finding the Fourth Proportional to 5,673.96, 7,828.90 and 3,315.64

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Solution

The fourth proportional to 5,673.96, 7,828.90 and 3,315.64 is: 4,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.96 : 7,828.90 = 3,315.64 : x
  2. Step 2: Convert to fraction form
    5,673.96/7,828.90 = 3,315.64/x
  3. Step 3: Cross multiply
    5,673.96x = 7,828.90 × 3,315.64
  4. Step 4: Simplify right side
    5,673.96x = 25,957,814.00
  5. Step 5: Solve for x
    x = 25,957,814.00/5,673.96
  6. Step 6: Final answer
    x = 4,574.90

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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.