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Finding the Fourth Proportional to 13,739, 18,964.50 and 9,259.88

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Solution

The fourth proportional to 13,739, 18,964.50 and 9,259.88 is: 12,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739 : 18,964.50 = 9,259.88 : x
  2. Step 2: Convert to fraction form
    13,739/18,964.50 = 9,259.88/x
  3. Step 3: Cross multiply
    13,739x = 18,964.50 × 9,259.88
  4. Step 4: Simplify right side
    13,739x = 175,608,994.26
  5. Step 5: Solve for x
    x = 175,608,994.26/13,739
  6. Step 6: Final answer
    x = 12,781.79

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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.