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Finding the Fourth Proportional to 9,351.95, 12,905.72 and 5,160.20

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Solution

The fourth proportional to 9,351.95, 12,905.72 and 5,160.20 is: 7,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.95 : 12,905.72 = 5,160.20 : x
  2. Step 2: Convert to fraction form
    9,351.95/12,905.72 = 5,160.20/x
  3. Step 3: Cross multiply
    9,351.95x = 12,905.72 × 5,160.20
  4. Step 4: Simplify right side
    9,351.95x = 66,596,006.01
  5. Step 5: Solve for x
    x = 66,596,006.01/9,351.95
  6. Step 6: Final answer
    x = 7,121.09

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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.