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Finding the Fourth Proportional to 5,472, 8,206.56 and 2,970.72

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Solution

The fourth proportional to 5,472, 8,206.56 and 2,970.72 is: 4,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 8,206.56 = 2,970.72 : x
  2. Step 2: Convert to fraction form
    5,472/8,206.56 = 2,970.72/x
  3. Step 3: Cross multiply
    5,472x = 8,206.56 × 2,970.72
  4. Step 4: Simplify right side
    5,472x = 24,379,391.92
  5. Step 5: Solve for x
    x = 24,379,391.92/5,472
  6. Step 6: Final answer
    x = 4,455.30

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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.