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Finding the Fourth Proportional to 20,980.87, 31,426 and 9,870.91

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Solution

The fourth proportional to 20,980.87, 31,426 and 9,870.91 is: 14,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.87 : 31,426 = 9,870.91 : x
  2. Step 2: Convert to fraction form
    20,980.87/31,426 = 9,870.91/x
  3. Step 3: Cross multiply
    20,980.87x = 31,426 × 9,870.91
  4. Step 4: Simplify right side
    20,980.87x = 310,203,217.66
  5. Step 5: Solve for x
    x = 310,203,217.66/20,980.87
  6. Step 6: Final answer
    x = 14,785.05

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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.