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Finding the Fourth Proportional to 30,678.56, 46,017.78 and 8,491.87

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Solution

The fourth proportional to 30,678.56, 46,017.78 and 8,491.87 is: 12,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.56 : 46,017.78 = 8,491.87 : x
  2. Step 2: Convert to fraction form
    30,678.56/46,017.78 = 8,491.87/x
  3. Step 3: Cross multiply
    30,678.56x = 46,017.78 × 8,491.87
  4. Step 4: Simplify right side
    30,678.56x = 390,777,005.45
  5. Step 5: Solve for x
    x = 390,777,005.45/30,678.56
  6. Step 6: Final answer
    x = 12,737.79

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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.