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Finding the Fourth Proportional to 31,762.89, 47,602.78 and 13,020.98

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Solution

The fourth proportional to 31,762.89, 47,602.78 and 13,020.98 is: 19,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.89 : 47,602.78 = 13,020.98 : x
  2. Step 2: Convert to fraction form
    31,762.89/47,602.78 = 13,020.98/x
  3. Step 3: Cross multiply
    31,762.89x = 47,602.78 × 13,020.98
  4. Step 4: Simplify right side
    31,762.89x = 619,834,575.76
  5. Step 5: Solve for x
    x = 619,834,575.76/31,762.89
  6. Step 6: Final answer
    x = 19,514.43

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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.