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Finding the Fourth Proportional to 19,553.90, 29,332.46 and 6,405.98

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Solution

The fourth proportional to 19,553.90, 29,332.46 and 6,405.98 is: 9,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.90 : 29,332.46 = 6,405.98 : x
  2. Step 2: Convert to fraction form
    19,553.90/29,332.46 = 6,405.98/x
  3. Step 3: Cross multiply
    19,553.90x = 29,332.46 × 6,405.98
  4. Step 4: Simplify right side
    19,553.90x = 187,903,152.11
  5. Step 5: Solve for x
    x = 187,903,152.11/19,553.90
  6. Step 6: Final answer
    x = 9,609.50

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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.