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Finding the Fourth Proportional to 9,305.34, 12,840 and 5,325.69

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Solution

The fourth proportional to 9,305.34, 12,840 and 5,325.69 is: 7,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.34 : 12,840 = 5,325.69 : x
  2. Step 2: Convert to fraction form
    9,305.34/12,840 = 5,325.69/x
  3. Step 3: Cross multiply
    9,305.34x = 12,840 × 5,325.69
  4. Step 4: Simplify right side
    9,305.34x = 68,381,859.60
  5. Step 5: Solve for x
    x = 68,381,859.60/9,305.34
  6. Step 6: Final answer
    x = 7,348.67

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Double scale
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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.