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Finding the Fourth Proportional to 28,415.67, 42,593.78 and 9,689.15

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Solution

The fourth proportional to 28,415.67, 42,593.78 and 9,689.15 is: 14,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415.67 : 42,593.78 = 9,689.15 : x
  2. Step 2: Convert to fraction form
    28,415.67/42,593.78 = 9,689.15/x
  3. Step 3: Cross multiply
    28,415.67x = 42,593.78 × 9,689.15
  4. Step 4: Simplify right side
    28,415.67x = 412,697,262.07
  5. Step 5: Solve for x
    x = 412,697,262.07/28,415.67
  6. Step 6: Final answer
    x = 14,523.58

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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.