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Finding the Fourth Proportional to 30,978.41, 46,490.98 and 14,350.11

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Solution

The fourth proportional to 30,978.41, 46,490.98 and 14,350.11 is: 21,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.41 : 46,490.98 = 14,350.11 : x
  2. Step 2: Convert to fraction form
    30,978.41/46,490.98 = 14,350.11/x
  3. Step 3: Cross multiply
    30,978.41x = 46,490.98 × 14,350.11
  4. Step 4: Simplify right side
    30,978.41x = 667,150,677.01
  5. Step 5: Solve for x
    x = 667,150,677.01/30,978.41
  6. Step 6: Final answer
    x = 21,535.99

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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.