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Finding the Fourth Proportional to 6,619.77, 9,929.64 and 5,160

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Solution

The fourth proportional to 6,619.77, 9,929.64 and 5,160 is: 7,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.77 : 9,929.64 = 5,160 : x
  2. Step 2: Convert to fraction form
    6,619.77/9,929.64 = 5,160/x
  3. Step 3: Cross multiply
    6,619.77x = 9,929.64 × 5,160
  4. Step 4: Simplify right side
    6,619.77x = 51,236,942.40
  5. Step 5: Solve for x
    x = 51,236,942.40/6,619.77
  6. Step 6: Final answer
    x = 7,739.99

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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.