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Finding the Fourth Proportional to 7,095.36, 9,800.50 and 5,980

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Solution

The fourth proportional to 7,095.36, 9,800.50 and 5,980 is: 8,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.36 : 9,800.50 = 5,980 : x
  2. Step 2: Convert to fraction form
    7,095.36/9,800.50 = 5,980/x
  3. Step 3: Cross multiply
    7,095.36x = 9,800.50 × 5,980
  4. Step 4: Simplify right side
    7,095.36x = 58,606,990
  5. Step 5: Solve for x
    x = 58,606,990/7,095.36
  6. Step 6: Final answer
    x = 8,259.90

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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.