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Finding the Fourth Proportional to 28,558.98, 42,833.79 and 7,784.10

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Solution

The fourth proportional to 28,558.98, 42,833.79 and 7,784.10 is: 11,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,558.98 : 42,833.79 = 7,784.10 : x
  2. Step 2: Convert to fraction form
    28,558.98/42,833.79 = 7,784.10/x
  3. Step 3: Cross multiply
    28,558.98x = 42,833.79 × 7,784.10
  4. Step 4: Simplify right side
    28,558.98x = 333,422,504.74
  5. Step 5: Solve for x
    x = 333,422,504.74/28,558.98
  6. Step 6: Final answer
    x = 11,674.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.