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Finding the Fourth Proportional to 20,983, 31,474.52 and 8,671.32

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Solution

The fourth proportional to 20,983, 31,474.52 and 8,671.32 is: 13,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983 : 31,474.52 = 8,671.32 : x
  2. Step 2: Convert to fraction form
    20,983/31,474.52 = 8,671.32/x
  3. Step 3: Cross multiply
    20,983x = 31,474.52 × 8,671.32
  4. Step 4: Simplify right side
    20,983x = 272,925,634.77
  5. Step 5: Solve for x
    x = 272,925,634.77/20,983
  6. Step 6: Final answer
    x = 13,006.99

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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.