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Finding the Fourth Proportional to 9,342.78, 14,014.14 and 3,186.78

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Solution

The fourth proportional to 9,342.78, 14,014.14 and 3,186.78 is: 4,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.78 : 14,014.14 = 3,186.78 : x
  2. Step 2: Convert to fraction form
    9,342.78/14,014.14 = 3,186.78/x
  3. Step 3: Cross multiply
    9,342.78x = 14,014.14 × 3,186.78
  4. Step 4: Simplify right side
    9,342.78x = 44,659,981.07
  5. Step 5: Solve for x
    x = 44,659,981.07/9,342.78
  6. Step 6: Final answer
    x = 4,780.16

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1.5x scale

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.