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Finding the Fourth Proportional to 4,369, 6,554.58 and 1,291

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Solution

The fourth proportional to 4,369, 6,554.58 and 1,291 is: 1,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369 : 6,554.58 = 1,291 : x
  2. Step 2: Convert to fraction form
    4,369/6,554.58 = 1,291/x
  3. Step 3: Cross multiply
    4,369x = 6,554.58 × 1,291
  4. Step 4: Simplify right side
    4,369x = 8,461,962.78
  5. Step 5: Solve for x
    x = 8,461,962.78/4,369
  6. Step 6: Final answer
    x = 1,936.82

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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.