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Finding the Fourth Proportional to 3,556, 5,312.42 and 2,972.80

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Solution

The fourth proportional to 3,556, 5,312.42 and 2,972.80 is: 4,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556 : 5,312.42 = 2,972.80 : x
  2. Step 2: Convert to fraction form
    3,556/5,312.42 = 2,972.80/x
  3. Step 3: Cross multiply
    3,556x = 5,312.42 × 2,972.80
  4. Step 4: Simplify right side
    3,556x = 15,792,762.18
  5. Step 5: Solve for x
    x = 15,792,762.18/3,556
  6. Step 6: Final answer
    x = 4,441.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.