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Finding the Fourth Proportional to 13,710.80, 20,566.20 and 4,945.71

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Solution

The fourth proportional to 13,710.80, 20,566.20 and 4,945.71 is: 7,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.80 : 20,566.20 = 4,945.71 : x
  2. Step 2: Convert to fraction form
    13,710.80/20,566.20 = 4,945.71/x
  3. Step 3: Cross multiply
    13,710.80x = 20,566.20 × 4,945.71
  4. Step 4: Simplify right side
    13,710.80x = 101,714,461.00
  5. Step 5: Solve for x
    x = 101,714,461.00/13,710.80
  6. Step 6: Final answer
    x = 7,418.57

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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.