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Finding the Fourth Proportional to 9,239, 12,749.82 and 5,047.24

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Solution

The fourth proportional to 9,239, 12,749.82 and 5,047.24 is: 6,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239 : 12,749.82 = 5,047.24 : x
  2. Step 2: Convert to fraction form
    9,239/12,749.82 = 5,047.24/x
  3. Step 3: Cross multiply
    9,239x = 12,749.82 × 5,047.24
  4. Step 4: Simplify right side
    9,239x = 64,351,401.50
  5. Step 5: Solve for x
    x = 64,351,401.50/9,239
  6. Step 6: Final answer
    x = 6,965.19

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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.