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Finding the Fourth Proportional to 6,319, 9,477.74 and 2,158.92

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Solution

The fourth proportional to 6,319, 9,477.74 and 2,158.92 is: 3,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319 : 9,477.74 = 2,158.92 : x
  2. Step 2: Convert to fraction form
    6,319/9,477.74 = 2,158.92/x
  3. Step 3: Cross multiply
    6,319x = 9,477.74 × 2,158.92
  4. Step 4: Simplify right side
    6,319x = 20,461,682.44
  5. Step 5: Solve for x
    x = 20,461,682.44/6,319
  6. Step 6: Final answer
    x = 3,238.12

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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.