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Finding the Fourth Proportional to 9,216, 13,825.53 and 2,891.28

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Solution

The fourth proportional to 9,216, 13,825.53 and 2,891.28 is: 4,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 13,825.53 = 2,891.28 : x
  2. Step 2: Convert to fraction form
    9,216/13,825.53 = 2,891.28/x
  3. Step 3: Cross multiply
    9,216x = 13,825.53 × 2,891.28
  4. Step 4: Simplify right side
    9,216x = 39,973,478.38
  5. Step 5: Solve for x
    x = 39,973,478.38/9,216
  6. Step 6: Final answer
    x = 4,337.40

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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.