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Finding the Fourth Proportional to 15,838.63, 21,857.10 and 9,551

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Solution

The fourth proportional to 15,838.63, 21,857.10 and 9,551 is: 13,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.63 : 21,857.10 = 9,551 : x
  2. Step 2: Convert to fraction form
    15,838.63/21,857.10 = 9,551/x
  3. Step 3: Cross multiply
    15,838.63x = 21,857.10 × 9,551
  4. Step 4: Simplify right side
    15,838.63x = 208,757,162.10
  5. Step 5: Solve for x
    x = 208,757,162.10/15,838.63
  6. Step 6: Final answer
    x = 13,180.25

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Why These Related Problems?

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