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Finding the Fourth Proportional to 31,443.87, 47,165.81 and 8,070.31

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Solution

The fourth proportional to 31,443.87, 47,165.81 and 8,070.31 is: 12,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.87 : 47,165.81 = 8,070.31 : x
  2. Step 2: Convert to fraction form
    31,443.87/47,165.81 = 8,070.31/x
  3. Step 3: Cross multiply
    31,443.87x = 47,165.81 × 8,070.31
  4. Step 4: Simplify right side
    31,443.87x = 380,642,549.84
  5. Step 5: Solve for x
    x = 380,642,549.84/31,443.87
  6. Step 6: Final answer
    x = 12,105.46

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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.