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Finding the Fourth Proportional to 7,319.16, 10,978.74 and 2,388.83

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Solution

The fourth proportional to 7,319.16, 10,978.74 and 2,388.83 is: 3,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.16 : 10,978.74 = 2,388.83 : x
  2. Step 2: Convert to fraction form
    7,319.16/10,978.74 = 2,388.83/x
  3. Step 3: Cross multiply
    7,319.16x = 10,978.74 × 2,388.83
  4. Step 4: Simplify right side
    7,319.16x = 26,226,288.58
  5. Step 5: Solve for x
    x = 26,226,288.58/7,319.16
  6. Step 6: Final answer
    x = 3,583.24

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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.