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Finding the Fourth Proportional to 9,250.38, 12,765 and 5,271.48

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Solution

The fourth proportional to 9,250.38, 12,765 and 5,271.48 is: 7,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.38 : 12,765 = 5,271.48 : x
  2. Step 2: Convert to fraction form
    9,250.38/12,765 = 5,271.48/x
  3. Step 3: Cross multiply
    9,250.38x = 12,765 × 5,271.48
  4. Step 4: Simplify right side
    9,250.38x = 67,290,442.20
  5. Step 5: Solve for x
    x = 67,290,442.20/9,250.38
  6. Step 6: Final answer
    x = 7,274.34

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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.