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Finding the Fourth Proportional to 11,575, 15,975.66 and 6,607

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Solution

The fourth proportional to 11,575, 15,975.66 and 6,607 is: 9,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575 : 15,975.66 = 6,607 : x
  2. Step 2: Convert to fraction form
    11,575/15,975.66 = 6,607/x
  3. Step 3: Cross multiply
    11,575x = 15,975.66 × 6,607
  4. Step 4: Simplify right side
    11,575x = 105,551,185.62
  5. Step 5: Solve for x
    x = 105,551,185.62/11,575
  6. Step 6: Final answer
    x = 9,118.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.