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Finding the Fourth Proportional to 31,406.40, 47,186.40 and 23,630.40

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Solution

The fourth proportional to 31,406.40, 47,186.40 and 23,630.40 is: 35,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.40 : 47,186.40 = 23,630.40 : x
  2. Step 2: Convert to fraction form
    31,406.40/47,186.40 = 23,630.40/x
  3. Step 3: Cross multiply
    31,406.40x = 47,186.40 × 23,630.40
  4. Step 4: Simplify right side
    31,406.40x = 1,115,033,506.56
  5. Step 5: Solve for x
    x = 1,115,033,506.56/31,406.40
  6. Step 6: Final answer
    x = 35,503.38

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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.