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Finding the Fourth Proportional to 12,358, 18,537 and 4,967.56

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Solution

The fourth proportional to 12,358, 18,537 and 4,967.56 is: 7,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358 : 18,537 = 4,967.56 : x
  2. Step 2: Convert to fraction form
    12,358/18,537 = 4,967.56/x
  3. Step 3: Cross multiply
    12,358x = 18,537 × 4,967.56
  4. Step 4: Simplify right side
    12,358x = 92,083,659.72
  5. Step 5: Solve for x
    x = 92,083,659.72/12,358
  6. Step 6: Final answer
    x = 7,451.34

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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.