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Finding the Fourth Proportional to 28,600.34, 42,899.90 and 7,823.84

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Solution

The fourth proportional to 28,600.34, 42,899.90 and 7,823.84 is: 11,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,600.34 : 42,899.90 = 7,823.84 : x
  2. Step 2: Convert to fraction form
    28,600.34/42,899.90 = 7,823.84/x
  3. Step 3: Cross multiply
    28,600.34x = 42,899.90 × 7,823.84
  4. Step 4: Simplify right side
    28,600.34x = 335,641,700.00
  5. Step 5: Solve for x
    x = 335,641,700.00/28,600.34
  6. Step 6: Final answer
    x = 11,735.59

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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.