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Finding the Fourth Proportional to 6,326.90, 9,488.64 and 2,378

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Solution

The fourth proportional to 6,326.90, 9,488.64 and 2,378 is: 3,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.90 : 9,488.64 = 2,378 : x
  2. Step 2: Convert to fraction form
    6,326.90/9,488.64 = 2,378/x
  3. Step 3: Cross multiply
    6,326.90x = 9,488.64 × 2,378
  4. Step 4: Simplify right side
    6,326.90x = 22,563,985.92
  5. Step 5: Solve for x
    x = 22,563,985.92/6,326.90
  6. Step 6: Final answer
    x = 3,566.36

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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.