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Finding the Fourth Proportional to 15,812.70, 21,820.77 and 8,739.78

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Solution

The fourth proportional to 15,812.70, 21,820.77 and 8,739.78 is: 12,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.70 : 21,820.77 = 8,739.78 : x
  2. Step 2: Convert to fraction form
    15,812.70/21,820.77 = 8,739.78/x
  3. Step 3: Cross multiply
    15,812.70x = 21,820.77 × 8,739.78
  4. Step 4: Simplify right side
    15,812.70x = 190,708,729.23
  5. Step 5: Solve for x
    x = 190,708,729.23/15,812.70
  6. Step 6: Final answer
    x = 12,060.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.