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Finding the Fourth Proportional to 4,651.16, 6,977.14 and 1,319.42

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Solution

The fourth proportional to 4,651.16, 6,977.14 and 1,319.42 is: 1,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.16 : 6,977.14 = 1,319.42 : x
  2. Step 2: Convert to fraction form
    4,651.16/6,977.14 = 1,319.42/x
  3. Step 3: Cross multiply
    4,651.16x = 6,977.14 × 1,319.42
  4. Step 4: Simplify right side
    4,651.16x = 9,205,778.06
  5. Step 5: Solve for x
    x = 9,205,778.06/4,651.16
  6. Step 6: Final answer
    x = 1,979.24

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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.