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Finding the Fourth Proportional to 28,268.68, 42,402.84 and 7,492

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Solution

The fourth proportional to 28,268.68, 42,402.84 and 7,492 is: 11,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,268.68 : 42,402.84 = 7,492 : x
  2. Step 2: Convert to fraction form
    28,268.68/42,402.84 = 7,492/x
  3. Step 3: Cross multiply
    28,268.68x = 42,402.84 × 7,492
  4. Step 4: Simplify right side
    28,268.68x = 317,682,077.28
  5. Step 5: Solve for x
    x = 317,682,077.28/28,268.68
  6. Step 6: Final answer
    x = 11,237.95

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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.