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Finding the Fourth Proportional to 31,470.03, 47,207.34 and 8,980.38

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Solution

The fourth proportional to 31,470.03, 47,207.34 and 8,980.38 is: 13,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.03 : 47,207.34 = 8,980.38 : x
  2. Step 2: Convert to fraction form
    31,470.03/47,207.34 = 8,980.38/x
  3. Step 3: Cross multiply
    31,470.03x = 47,207.34 × 8,980.38
  4. Step 4: Simplify right side
    31,470.03x = 423,939,851.99
  5. Step 5: Solve for x
    x = 423,939,851.99/31,470.03
  6. Step 6: Final answer
    x = 13,471.22

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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.