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Finding the Fourth Proportional to 3,920.16, 5,880.48 and 1,322.88

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Solution

The fourth proportional to 3,920.16, 5,880.48 and 1,322.88 is: 1,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.16 : 5,880.48 = 1,322.88 : x
  2. Step 2: Convert to fraction form
    3,920.16/5,880.48 = 1,322.88/x
  3. Step 3: Cross multiply
    3,920.16x = 5,880.48 × 1,322.88
  4. Step 4: Simplify right side
    3,920.16x = 7,779,169.38
  5. Step 5: Solve for x
    x = 7,779,169.38/3,920.16
  6. Step 6: Final answer
    x = 1,984.40

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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.