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Finding the Fourth Proportional to 12,259, 18,395.48 and 10,203.90

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Solution

The fourth proportional to 12,259, 18,395.48 and 10,203.90 is: 15,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259 : 18,395.48 = 10,203.90 : x
  2. Step 2: Convert to fraction form
    12,259/18,395.48 = 10,203.90/x
  3. Step 3: Cross multiply
    12,259x = 18,395.48 × 10,203.90
  4. Step 4: Simplify right side
    12,259x = 187,705,638.37
  5. Step 5: Solve for x
    x = 187,705,638.37/12,259
  6. Step 6: Final answer
    x = 15,311.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.