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Finding the Fourth Proportional to 9,362.64, 12,916.29 and 6,171.90

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Solution

The fourth proportional to 9,362.64, 12,916.29 and 6,171.90 is: 8,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.64 : 12,916.29 = 6,171.90 : x
  2. Step 2: Convert to fraction form
    9,362.64/12,916.29 = 6,171.90/x
  3. Step 3: Cross multiply
    9,362.64x = 12,916.29 × 6,171.90
  4. Step 4: Simplify right side
    9,362.64x = 79,717,972.88
  5. Step 5: Solve for x
    x = 79,717,972.88/9,362.64
  6. Step 6: Final answer
    x = 8,514.48

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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.