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Finding the Fourth Proportional to 9,265.24, 12,784.86 and 7,381.60

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Solution

The fourth proportional to 9,265.24, 12,784.86 and 7,381.60 is: 10,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.24 : 12,784.86 = 7,381.60 : x
  2. Step 2: Convert to fraction form
    9,265.24/12,784.86 = 7,381.60/x
  3. Step 3: Cross multiply
    9,265.24x = 12,784.86 × 7,381.60
  4. Step 4: Simplify right side
    9,265.24x = 94,372,722.58
  5. Step 5: Solve for x
    x = 94,372,722.58/9,265.24
  6. Step 6: Final answer
    x = 10,185.67

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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.