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Finding the Fourth Proportional to 21,163.98, 31,760.54 and 7,312.98

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Solution

The fourth proportional to 21,163.98, 31,760.54 and 7,312.98 is: 10,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.98 : 31,760.54 = 7,312.98 : x
  2. Step 2: Convert to fraction form
    21,163.98/31,760.54 = 7,312.98/x
  3. Step 3: Cross multiply
    21,163.98x = 31,760.54 × 7,312.98
  4. Step 4: Simplify right side
    21,163.98x = 232,264,193.81
  5. Step 5: Solve for x
    x = 232,264,193.81/21,163.98
  6. Step 6: Final answer
    x = 10,974.50

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1.5x scale

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.