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Finding the Fourth Proportional to 15,776.80, 21,773.28 and 8,703.84

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Solution

The fourth proportional to 15,776.80, 21,773.28 and 8,703.84 is: 12,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.80 : 21,773.28 = 8,703.84 : x
  2. Step 2: Convert to fraction form
    15,776.80/21,773.28 = 8,703.84/x
  3. Step 3: Cross multiply
    15,776.80x = 21,773.28 × 8,703.84
  4. Step 4: Simplify right side
    15,776.80x = 189,511,145.40
  5. Step 5: Solve for x
    x = 189,511,145.40/15,776.80
  6. Step 6: Final answer
    x = 12,012.01

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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.