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Finding the Fourth Proportional to 15,772.40, 21,765.84 and 8,698.76

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Solution

The fourth proportional to 15,772.40, 21,765.84 and 8,698.76 is: 12,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.40 : 21,765.84 = 8,698.76 : x
  2. Step 2: Convert to fraction form
    15,772.40/21,765.84 = 8,698.76/x
  3. Step 3: Cross multiply
    15,772.40x = 21,765.84 × 8,698.76
  4. Step 4: Simplify right side
    15,772.40x = 189,335,818.36
  5. Step 5: Solve for x
    x = 189,335,818.36/15,772.40
  6. Step 6: Final answer
    x = 12,004.25

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