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Finding the Fourth Proportional to 31,204.60, 46,806.90 and 13,655.80

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Solution

The fourth proportional to 31,204.60, 46,806.90 and 13,655.80 is: 20,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.60 : 46,806.90 = 13,655.80 : x
  2. Step 2: Convert to fraction form
    31,204.60/46,806.90 = 13,655.80/x
  3. Step 3: Cross multiply
    31,204.60x = 46,806.90 × 13,655.80
  4. Step 4: Simplify right side
    31,204.60x = 639,185,665.02
  5. Step 5: Solve for x
    x = 639,185,665.02/31,204.60
  6. Step 6: Final answer
    x = 20,483.70

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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.