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Finding the Fourth Proportional to 5,674.72, 7,829.96 and 3,316.40

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Solution

The fourth proportional to 5,674.72, 7,829.96 and 3,316.40 is: 4,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.72 : 7,829.96 = 3,316.40 : x
  2. Step 2: Convert to fraction form
    5,674.72/7,829.96 = 3,316.40/x
  3. Step 3: Cross multiply
    5,674.72x = 7,829.96 × 3,316.40
  4. Step 4: Simplify right side
    5,674.72x = 25,967,279.34
  5. Step 5: Solve for x
    x = 25,967,279.34/5,674.72
  6. Step 6: Final answer
    x = 4,575.96

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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.