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Finding the Fourth Proportional to 28,431.91, 42,647.86 and 7,655.41

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Solution

The fourth proportional to 28,431.91, 42,647.86 and 7,655.41 is: 11,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.91 : 42,647.86 = 7,655.41 : x
  2. Step 2: Convert to fraction form
    28,431.91/42,647.86 = 7,655.41/x
  3. Step 3: Cross multiply
    28,431.91x = 42,647.86 × 7,655.41
  4. Step 4: Simplify right side
    28,431.91x = 326,486,640.68
  5. Step 5: Solve for x
    x = 326,486,640.68/28,431.91
  6. Step 6: Final answer
    x = 11,483.11

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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.