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Finding the Fourth Proportional to 18,656.56, 25,729.14 and 12,358

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Solution

The fourth proportional to 18,656.56, 25,729.14 and 12,358 is: 17,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.56 : 25,729.14 = 12,358 : x
  2. Step 2: Convert to fraction form
    18,656.56/25,729.14 = 12,358/x
  3. Step 3: Cross multiply
    18,656.56x = 25,729.14 × 12,358
  4. Step 4: Simplify right side
    18,656.56x = 317,960,712.12
  5. Step 5: Solve for x
    x = 317,960,712.12/18,656.56
  6. Step 6: Final answer
    x = 17,042.84

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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.