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Finding the Fourth Proportional to 9,416.78, 14,127.90 and 5,259.88

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Solution

The fourth proportional to 9,416.78, 14,127.90 and 5,259.88 is: 7,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.78 : 14,127.90 = 5,259.88 : x
  2. Step 2: Convert to fraction form
    9,416.78/14,127.90 = 5,259.88/x
  3. Step 3: Cross multiply
    9,416.78x = 14,127.90 × 5,259.88
  4. Step 4: Simplify right side
    9,416.78x = 74,311,076.31
  5. Step 5: Solve for x
    x = 74,311,076.31/9,416.78
  6. Step 6: Final answer
    x = 7,891.35

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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.