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Finding the Fourth Proportional to 8,732, 13,100.16 and 2,576

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Solution

The fourth proportional to 8,732, 13,100.16 and 2,576 is: 3,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732 : 13,100.16 = 2,576 : x
  2. Step 2: Convert to fraction form
    8,732/13,100.16 = 2,576/x
  3. Step 3: Cross multiply
    8,732x = 13,100.16 × 2,576
  4. Step 4: Simplify right side
    8,732x = 33,746,012.16
  5. Step 5: Solve for x
    x = 33,746,012.16/8,732
  6. Step 6: Final answer
    x = 3,864.64

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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.