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Finding the Fourth Proportional to 2,865.72, 4,302.56 and 1,480.08

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Solution

The fourth proportional to 2,865.72, 4,302.56 and 1,480.08 is: 2,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.72 : 4,302.56 = 1,480.08 : x
  2. Step 2: Convert to fraction form
    2,865.72/4,302.56 = 1,480.08/x
  3. Step 3: Cross multiply
    2,865.72x = 4,302.56 × 1,480.08
  4. Step 4: Simplify right side
    2,865.72x = 6,368,136.71
  5. Step 5: Solve for x
    x = 6,368,136.71/2,865.72
  6. Step 6: Final answer
    x = 2,222.18

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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.