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Finding the Fourth Proportional to 11,697, 17,547.42 and 3,907.68

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Solution

The fourth proportional to 11,697, 17,547.42 and 3,907.68 is: 5,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697 : 17,547.42 = 3,907.68 : x
  2. Step 2: Convert to fraction form
    11,697/17,547.42 = 3,907.68/x
  3. Step 3: Cross multiply
    11,697x = 17,547.42 × 3,907.68
  4. Step 4: Simplify right side
    11,697x = 68,569,702.19
  5. Step 5: Solve for x
    x = 68,569,702.19/11,697
  6. Step 6: Final answer
    x = 5,862.16

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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.