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Finding the Fourth Proportional to 5,322.50, 7,345.04 and 2,965.20

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Solution

The fourth proportional to 5,322.50, 7,345.04 and 2,965.20 is: 4,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.50 : 7,345.04 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    5,322.50/7,345.04 = 2,965.20/x
  3. Step 3: Cross multiply
    5,322.50x = 7,345.04 × 2,965.20
  4. Step 4: Simplify right side
    5,322.50x = 21,779,497.78
  5. Step 5: Solve for x
    x = 21,779,497.78/5,322.50
  6. Step 6: Final answer
    x = 4,091.97

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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.