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Finding the Fourth Proportional to 5,664, 7,816.32 and 3,180

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Solution

The fourth proportional to 5,664, 7,816.32 and 3,180 is: 4,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664 : 7,816.32 = 3,180 : x
  2. Step 2: Convert to fraction form
    5,664/7,816.32 = 3,180/x
  3. Step 3: Cross multiply
    5,664x = 7,816.32 × 3,180
  4. Step 4: Simplify right side
    5,664x = 24,855,897.60
  5. Step 5: Solve for x
    x = 24,855,897.60/5,664
  6. Step 6: Final answer
    x = 4,388.40

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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.