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Finding the Fourth Proportional to 25,107.64, 34,647.36 and 13,776.88

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Solution

The fourth proportional to 25,107.64, 34,647.36 and 13,776.88 is: 19,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.64 : 34,647.36 = 13,776.88 : x
  2. Step 2: Convert to fraction form
    25,107.64/34,647.36 = 13,776.88/x
  3. Step 3: Cross multiply
    25,107.64x = 34,647.36 × 13,776.88
  4. Step 4: Simplify right side
    25,107.64x = 477,332,521.04
  5. Step 5: Solve for x
    x = 477,332,521.04/25,107.64
  6. Step 6: Final answer
    x = 19,011.45

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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.