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Finding the Fourth Proportional to 7,596, 10,483.20 and 6,004.80

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Solution

The fourth proportional to 7,596, 10,483.20 and 6,004.80 is: 8,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 10,483.20 = 6,004.80 : x
  2. Step 2: Convert to fraction form
    7,596/10,483.20 = 6,004.80/x
  3. Step 3: Cross multiply
    7,596x = 10,483.20 × 6,004.80
  4. Step 4: Simplify right side
    7,596x = 62,949,519.36
  5. Step 5: Solve for x
    x = 62,949,519.36/7,596
  6. Step 6: Final answer
    x = 8,287.19

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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.