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Finding the Fourth Proportional to 9,401.86, 12,964.08 and 6,419.26

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Solution

The fourth proportional to 9,401.86, 12,964.08 and 6,419.26 is: 8,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.86 : 12,964.08 = 6,419.26 : x
  2. Step 2: Convert to fraction form
    9,401.86/12,964.08 = 6,419.26/x
  3. Step 3: Cross multiply
    9,401.86x = 12,964.08 × 6,419.26
  4. Step 4: Simplify right side
    9,401.86x = 83,219,800.18
  5. Step 5: Solve for x
    x = 83,219,800.18/9,401.86
  6. Step 6: Final answer
    x = 8,851.42

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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.