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Finding the Fourth Proportional to 11,448.60, 17,172.88 and 3,658

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Solution

The fourth proportional to 11,448.60, 17,172.88 and 3,658 is: 5,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.60 : 17,172.88 = 3,658 : x
  2. Step 2: Convert to fraction form
    11,448.60/17,172.88 = 3,658/x
  3. Step 3: Cross multiply
    11,448.60x = 17,172.88 × 3,658
  4. Step 4: Simplify right side
    11,448.60x = 62,818,395.04
  5. Step 5: Solve for x
    x = 62,818,395.04/11,448.60
  6. Step 6: Final answer
    x = 5,486.99

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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.