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Finding the Fourth Proportional to 31,455, 47,189.79 and 10,678.50

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Solution

The fourth proportional to 31,455, 47,189.79 and 10,678.50 is: 16,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455 : 47,189.79 = 10,678.50 : x
  2. Step 2: Convert to fraction form
    31,455/47,189.79 = 10,678.50/x
  3. Step 3: Cross multiply
    31,455x = 47,189.79 × 10,678.50
  4. Step 4: Simplify right side
    31,455x = 503,916,172.52
  5. Step 5: Solve for x
    x = 503,916,172.52/31,455
  6. Step 6: Final answer
    x = 16,020.22

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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.