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Finding the Fourth Proportional to 31,281.41, 46,922.27 and 7,907.87

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Solution

The fourth proportional to 31,281.41, 46,922.27 and 7,907.87 is: 11,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.41 : 46,922.27 = 7,907.87 : x
  2. Step 2: Convert to fraction form
    31,281.41/46,922.27 = 7,907.87/x
  3. Step 3: Cross multiply
    31,281.41x = 46,922.27 × 7,907.87
  4. Step 4: Simplify right side
    31,281.41x = 371,054,937.11
  5. Step 5: Solve for x
    x = 371,054,937.11/31,281.41
  6. Step 6: Final answer
    x = 11,861.84

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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.