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Finding the Fourth Proportional to 13,251.20, 18,286.98 and 7,283

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Solution

The fourth proportional to 13,251.20, 18,286.98 and 7,283 is: 10,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.20 : 18,286.98 = 7,283 : x
  2. Step 2: Convert to fraction form
    13,251.20/18,286.98 = 7,283/x
  3. Step 3: Cross multiply
    13,251.20x = 18,286.98 × 7,283
  4. Step 4: Simplify right side
    13,251.20x = 133,184,075.34
  5. Step 5: Solve for x
    x = 133,184,075.34/13,251.20
  6. Step 6: Final answer
    x = 10,050.72

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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.