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Finding the Fourth Proportional to 13,970.57, 20,935.80 and 10,835.87

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Solution

The fourth proportional to 13,970.57, 20,935.80 and 10,835.87 is: 16,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.57 : 20,935.80 = 10,835.87 : x
  2. Step 2: Convert to fraction form
    13,970.57/20,935.80 = 10,835.87/x
  3. Step 3: Cross multiply
    13,970.57x = 20,935.80 × 10,835.87
  4. Step 4: Simplify right side
    13,970.57x = 226,857,502.47
  5. Step 5: Solve for x
    x = 226,857,502.47/13,970.57
  6. Step 6: Final answer
    x = 16,238.25

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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.