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Finding the Fourth Proportional to 11,698, 17,550.04 and 3,490

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Solution

The fourth proportional to 11,698, 17,550.04 and 3,490 is: 5,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 17,550.04 = 3,490 : x
  2. Step 2: Convert to fraction form
    11,698/17,550.04 = 3,490/x
  3. Step 3: Cross multiply
    11,698x = 17,550.04 × 3,490
  4. Step 4: Simplify right side
    11,698x = 61,249,639.60
  5. Step 5: Solve for x
    x = 61,249,639.60/11,698
  6. Step 6: Final answer
    x = 5,235.91

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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.