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Finding the Fourth Proportional to 13,312, 18,370.56 and 7,424

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Solution

The fourth proportional to 13,312, 18,370.56 and 7,424 is: 10,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312 : 18,370.56 = 7,424 : x
  2. Step 2: Convert to fraction form
    13,312/18,370.56 = 7,424/x
  3. Step 3: Cross multiply
    13,312x = 18,370.56 × 7,424
  4. Step 4: Simplify right side
    13,312x = 136,383,037.44
  5. Step 5: Solve for x
    x = 136,383,037.44/13,312
  6. Step 6: Final answer
    x = 10,245.12

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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.