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Finding the Fourth Proportional to 13,575, 18,735 and 7,607.22

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Solution

The fourth proportional to 13,575, 18,735 and 7,607.22 is: 10,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575 : 18,735 = 7,607.22 : x
  2. Step 2: Convert to fraction form
    13,575/18,735 = 7,607.22/x
  3. Step 3: Cross multiply
    13,575x = 18,735 × 7,607.22
  4. Step 4: Simplify right side
    13,575x = 142,521,266.70
  5. Step 5: Solve for x
    x = 142,521,266.70/13,575
  6. Step 6: Final answer
    x = 10,498.80

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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.