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Finding the Fourth Proportional to 5,271.16, 7,905.06 and 2,151.16

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Solution

The fourth proportional to 5,271.16, 7,905.06 and 2,151.16 is: 3,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.16 : 7,905.06 = 2,151.16 : x
  2. Step 2: Convert to fraction form
    5,271.16/7,905.06 = 2,151.16/x
  3. Step 3: Cross multiply
    5,271.16x = 7,905.06 × 2,151.16
  4. Step 4: Simplify right side
    5,271.16x = 17,005,048.87
  5. Step 5: Solve for x
    x = 17,005,048.87/5,271.16
  6. Step 6: Final answer
    x = 3,226.05

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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.