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Finding the Fourth Proportional to 5,121.90, 7,666.65 and 3,663.90

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Solution

The fourth proportional to 5,121.90, 7,666.65 and 3,663.90 is: 5,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.90 : 7,666.65 = 3,663.90 : x
  2. Step 2: Convert to fraction form
    5,121.90/7,666.65 = 3,663.90/x
  3. Step 3: Cross multiply
    5,121.90x = 7,666.65 × 3,663.90
  4. Step 4: Simplify right side
    5,121.90x = 28,089,838.94
  5. Step 5: Solve for x
    x = 28,089,838.94/5,121.90
  6. Step 6: Final answer
    x = 5,484.26

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1.5x scale

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.