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Finding the Fourth Proportional to 31,186.40, 46,795.40 and 13,656.40

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Solution

The fourth proportional to 31,186.40, 46,795.40 and 13,656.40 is: 20,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.40 : 46,795.40 = 13,656.40 : x
  2. Step 2: Convert to fraction form
    31,186.40/46,795.40 = 13,656.40/x
  3. Step 3: Cross multiply
    31,186.40x = 46,795.40 × 13,656.40
  4. Step 4: Simplify right side
    31,186.40x = 639,056,700.56
  5. Step 5: Solve for x
    x = 639,056,700.56/31,186.40
  6. Step 6: Final answer
    x = 20,491.52

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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.