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Finding the Fourth Proportional to 15,777.22, 21,772.64 and 8,703.64

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Solution

The fourth proportional to 15,777.22, 21,772.64 and 8,703.64 is: 12,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.22 : 21,772.64 = 8,703.64 : x
  2. Step 2: Convert to fraction form
    15,777.22/21,772.64 = 8,703.64/x
  3. Step 3: Cross multiply
    15,777.22x = 21,772.64 × 8,703.64
  4. Step 4: Simplify right side
    15,777.22x = 189,501,176.89
  5. Step 5: Solve for x
    x = 189,501,176.89/15,777.22
  6. Step 6: Final answer
    x = 12,011.06

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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.