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Finding the Fourth Proportional to 13,851.30, 20,776.98 and 7,708.26

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Solution

The fourth proportional to 13,851.30, 20,776.98 and 7,708.26 is: 11,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.30 : 20,776.98 = 7,708.26 : x
  2. Step 2: Convert to fraction form
    13,851.30/20,776.98 = 7,708.26/x
  3. Step 3: Cross multiply
    13,851.30x = 20,776.98 × 7,708.26
  4. Step 4: Simplify right side
    13,851.30x = 160,154,363.85
  5. Step 5: Solve for x
    x = 160,154,363.85/13,851.30
  6. Step 6: Final answer
    x = 11,562.41

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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.