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Finding the Fourth Proportional to 31,406.60, 47,109.90 and 27,907.40

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Solution

The fourth proportional to 31,406.60, 47,109.90 and 27,907.40 is: 41,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.60 : 47,109.90 = 27,907.40 : x
  2. Step 2: Convert to fraction form
    31,406.60/47,109.90 = 27,907.40/x
  3. Step 3: Cross multiply
    31,406.60x = 47,109.90 × 27,907.40
  4. Step 4: Simplify right side
    31,406.60x = 1,314,714,823.26
  5. Step 5: Solve for x
    x = 1,314,714,823.26/31,406.60
  6. Step 6: Final answer
    x = 41,861.10

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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.