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Finding the Fourth Proportional to 31,379.40, 47,069.10 and 10,602.60

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Solution

The fourth proportional to 31,379.40, 47,069.10 and 10,602.60 is: 15,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.40 : 47,069.10 = 10,602.60 : x
  2. Step 2: Convert to fraction form
    31,379.40/47,069.10 = 10,602.60/x
  3. Step 3: Cross multiply
    31,379.40x = 47,069.10 × 10,602.60
  4. Step 4: Simplify right side
    31,379.40x = 499,054,839.66
  5. Step 5: Solve for x
    x = 499,054,839.66/31,379.40
  6. Step 6: Final answer
    x = 15,903.90

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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.