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Finding the Fourth Proportional to 10,272.44, 15,415.92 and 9,281

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Solution

The fourth proportional to 10,272.44, 15,415.92 and 9,281 is: 13,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.44 : 15,415.92 = 9,281 : x
  2. Step 2: Convert to fraction form
    10,272.44/15,415.92 = 9,281/x
  3. Step 3: Cross multiply
    10,272.44x = 15,415.92 × 9,281
  4. Step 4: Simplify right side
    10,272.44x = 143,075,153.52
  5. Step 5: Solve for x
    x = 143,075,153.52/10,272.44
  6. Step 6: Final answer
    x = 13,928.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.