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Finding the Fourth Proportional to 13,672.77, 20,509.17 and 3,812.30

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Solution

The fourth proportional to 13,672.77, 20,509.17 and 3,812.30 is: 5,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.77 : 20,509.17 = 3,812.30 : x
  2. Step 2: Convert to fraction form
    13,672.77/20,509.17 = 3,812.30/x
  3. Step 3: Cross multiply
    13,672.77x = 20,509.17 × 3,812.30
  4. Step 4: Simplify right side
    13,672.77x = 78,187,068.86
  5. Step 5: Solve for x
    x = 78,187,068.86/13,672.77
  6. Step 6: Final answer
    x = 5,718.45

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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.