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Finding the Fourth Proportional to 15,777.41, 21,772.90 and 8,703.83

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Solution

The fourth proportional to 15,777.41, 21,772.90 and 8,703.83 is: 12,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.41 : 21,772.90 = 8,703.83 : x
  2. Step 2: Convert to fraction form
    15,777.41/21,772.90 = 8,703.83/x
  3. Step 3: Cross multiply
    15,777.41x = 21,772.90 × 8,703.83
  4. Step 4: Simplify right side
    15,777.41x = 189,507,522.26
  5. Step 5: Solve for x
    x = 189,507,522.26/15,777.41
  6. Step 6: Final answer
    x = 12,011.32

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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.