Home / 7,777.60-11,664-2,229.46

Finding the Fourth Proportional to 7,777.60, 11,664 and 2,229.46

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Solution

The fourth proportional to 7,777.60, 11,664 and 2,229.46 is: 3,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.60 : 11,664 = 2,229.46 : x
  2. Step 2: Convert to fraction form
    7,777.60/11,664 = 2,229.46/x
  3. Step 3: Cross multiply
    7,777.60x = 11,664 × 2,229.46
  4. Step 4: Simplify right side
    7,777.60x = 26,004,392.28
  5. Step 5: Solve for x
    x = 26,004,392.28/7,777.60
  6. Step 6: Final answer
    x = 3,343.50

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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.