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Finding the Fourth Proportional to 9,007.97, 12,429 and 5,228.96

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Solution

The fourth proportional to 9,007.97, 12,429 and 5,228.96 is: 7,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.97 : 12,429 = 5,228.96 : x
  2. Step 2: Convert to fraction form
    9,007.97/12,429 = 5,228.96/x
  3. Step 3: Cross multiply
    9,007.97x = 12,429 × 5,228.96
  4. Step 4: Simplify right side
    9,007.97x = 64,990,743.84
  5. Step 5: Solve for x
    x = 64,990,743.84/9,007.97
  6. Step 6: Final answer
    x = 7,214.80

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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.