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Finding the Fourth Proportional to 13,575.90, 18,735 and 7,607.55

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Solution

The fourth proportional to 13,575.90, 18,735 and 7,607.55 is: 10,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.90 : 18,735 = 7,607.55 : x
  2. Step 2: Convert to fraction form
    13,575.90/18,735 = 7,607.55/x
  3. Step 3: Cross multiply
    13,575.90x = 18,735 × 7,607.55
  4. Step 4: Simplify right side
    13,575.90x = 142,527,449.25
  5. Step 5: Solve for x
    x = 142,527,449.25/13,575.90
  6. Step 6: Final answer
    x = 10,498.56

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1.5x scale

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.