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Finding the Fourth Proportional to 28,564.84, 42,849.26 and 8,840.80

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Solution

The fourth proportional to 28,564.84, 42,849.26 and 8,840.80 is: 13,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.84 : 42,849.26 = 8,840.80 : x
  2. Step 2: Convert to fraction form
    28,564.84/42,849.26 = 8,840.80/x
  3. Step 3: Cross multiply
    28,564.84x = 42,849.26 × 8,840.80
  4. Step 4: Simplify right side
    28,564.84x = 378,821,737.81
  5. Step 5: Solve for x
    x = 378,821,737.81/28,564.84
  6. Step 6: Final answer
    x = 13,261.82

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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.