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Finding the Fourth Proportional to 13,749, 18,978.30 and 9,269.88

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Solution

The fourth proportional to 13,749, 18,978.30 and 9,269.88 is: 12,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 18,978.30 = 9,269.88 : x
  2. Step 2: Convert to fraction form
    13,749/18,978.30 = 9,269.88/x
  3. Step 3: Cross multiply
    13,749x = 18,978.30 × 9,269.88
  4. Step 4: Simplify right side
    13,749x = 175,926,563.60
  5. Step 5: Solve for x
    x = 175,926,563.60/13,749
  6. Step 6: Final answer
    x = 12,795.59

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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.