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Finding the Fourth Proportional to 19,903.70, 29,812.35 and 12,905.30

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Solution

The fourth proportional to 19,903.70, 29,812.35 and 12,905.30 is: 19,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903.70 : 29,812.35 = 12,905.30 : x
  2. Step 2: Convert to fraction form
    19,903.70/29,812.35 = 12,905.30/x
  3. Step 3: Cross multiply
    19,903.70x = 29,812.35 × 12,905.30
  4. Step 4: Simplify right side
    19,903.70x = 384,737,320.46
  5. Step 5: Solve for x
    x = 384,737,320.46/19,903.70
  6. Step 6: Final answer
    x = 19,329.94

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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.