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Finding the Fourth Proportional to 5,673.23, 7,829.16 and 3,315.47

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Solution

The fourth proportional to 5,673.23, 7,829.16 and 3,315.47 is: 4,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.23 : 7,829.16 = 3,315.47 : x
  2. Step 2: Convert to fraction form
    5,673.23/7,829.16 = 3,315.47/x
  3. Step 3: Cross multiply
    5,673.23x = 7,829.16 × 3,315.47
  4. Step 4: Simplify right side
    5,673.23x = 25,957,328.53
  5. Step 5: Solve for x
    x = 25,957,328.53/5,673.23
  6. Step 6: Final answer
    x = 4,575.41

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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.