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Finding the Fourth Proportional to 5,130, 7,689.60 and 3,664.80

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Solution

The fourth proportional to 5,130, 7,689.60 and 3,664.80 is: 5,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130 : 7,689.60 = 3,664.80 : x
  2. Step 2: Convert to fraction form
    5,130/7,689.60 = 3,664.80/x
  3. Step 3: Cross multiply
    5,130x = 7,689.60 × 3,664.80
  4. Step 4: Simplify right side
    5,130x = 28,180,846.08
  5. Step 5: Solve for x
    x = 28,180,846.08/5,130
  6. Step 6: Final answer
    x = 5,493.34

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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.