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Finding the Fourth Proportional to 9,302.80, 12,804.48 and 8,416.72

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Solution

The fourth proportional to 9,302.80, 12,804.48 and 8,416.72 is: 11,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.80 : 12,804.48 = 8,416.72 : x
  2. Step 2: Convert to fraction form
    9,302.80/12,804.48 = 8,416.72/x
  3. Step 3: Cross multiply
    9,302.80x = 12,804.48 × 8,416.72
  4. Step 4: Simplify right side
    9,302.80x = 107,771,722.91
  5. Step 5: Solve for x
    x = 107,771,722.91/9,302.80
  6. Step 6: Final answer
    x = 11,584.87

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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.