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Finding the Fourth Proportional to 13,455, 18,567.50 and 7,788.96

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Solution

The fourth proportional to 13,455, 18,567.50 and 7,788.96 is: 10,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455 : 18,567.50 = 7,788.96 : x
  2. Step 2: Convert to fraction form
    13,455/18,567.50 = 7,788.96/x
  3. Step 3: Cross multiply
    13,455x = 18,567.50 × 7,788.96
  4. Step 4: Simplify right side
    13,455x = 144,621,514.80
  5. Step 5: Solve for x
    x = 144,621,514.80/13,455
  6. Step 6: Final answer
    x = 10,748.53

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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.