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Finding the Fourth Proportional to 29,913.40, 44,772.90 and 21,165.40

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Solution

The fourth proportional to 29,913.40, 44,772.90 and 21,165.40 is: 31,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.40 : 44,772.90 = 21,165.40 : x
  2. Step 2: Convert to fraction form
    29,913.40/44,772.90 = 21,165.40/x
  3. Step 3: Cross multiply
    29,913.40x = 44,772.90 × 21,165.40
  4. Step 4: Simplify right side
    29,913.40x = 947,636,337.66
  5. Step 5: Solve for x
    x = 947,636,337.66/29,913.40
  6. Step 6: Final answer
    x = 31,679.33

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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.