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Finding the Fourth Proportional to 13,454.74, 18,554.52 and 8,978.68

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Solution

The fourth proportional to 13,454.74, 18,554.52 and 8,978.68 is: 12,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.74 : 18,554.52 = 8,978.68 : x
  2. Step 2: Convert to fraction form
    13,454.74/18,554.52 = 8,978.68/x
  3. Step 3: Cross multiply
    13,454.74x = 18,554.52 × 8,978.68
  4. Step 4: Simplify right side
    13,454.74x = 166,595,097.63
  5. Step 5: Solve for x
    x = 166,595,097.63/13,454.74
  6. Step 6: Final answer
    x = 12,381.89

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1.5x scale

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.