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Finding the Fourth Proportional to 28,474.84, 42,707.22 and 7,699.96

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Solution

The fourth proportional to 28,474.84, 42,707.22 and 7,699.96 is: 11,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,474.84 : 42,707.22 = 7,699.96 : x
  2. Step 2: Convert to fraction form
    28,474.84/42,707.22 = 7,699.96/x
  3. Step 3: Cross multiply
    28,474.84x = 42,707.22 × 7,699.96
  4. Step 4: Simplify right side
    28,474.84x = 328,843,885.71
  5. Step 5: Solve for x
    x = 328,843,885.71/28,474.84
  6. Step 6: Final answer
    x = 11,548.58

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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.