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Finding the Fourth Proportional to 12,356, 17,051.40 and 7,388

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Solution

The fourth proportional to 12,356, 17,051.40 and 7,388 is: 10,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356 : 17,051.40 = 7,388 : x
  2. Step 2: Convert to fraction form
    12,356/17,051.40 = 7,388/x
  3. Step 3: Cross multiply
    12,356x = 17,051.40 × 7,388
  4. Step 4: Simplify right side
    12,356x = 125,975,743.20
  5. Step 5: Solve for x
    x = 125,975,743.20/12,356
  6. Step 6: Final answer
    x = 10,195.51

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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.