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Finding the Fourth Proportional to 28,643.85, 42,962.61 and 8,920.77

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Solution

The fourth proportional to 28,643.85, 42,962.61 and 8,920.77 is: 13,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,643.85 : 42,962.61 = 8,920.77 : x
  2. Step 2: Convert to fraction form
    28,643.85/42,962.61 = 8,920.77/x
  3. Step 3: Cross multiply
    28,643.85x = 42,962.61 × 8,920.77
  4. Step 4: Simplify right side
    28,643.85x = 383,259,562.41
  5. Step 5: Solve for x
    x = 383,259,562.41/28,643.85
  6. Step 6: Final answer
    x = 13,380.17

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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.