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Finding the Fourth Proportional to 5,379.04, 8,070 and 3,072.16

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Solution

The fourth proportional to 5,379.04, 8,070 and 3,072.16 is: 4,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.04 : 8,070 = 3,072.16 : x
  2. Step 2: Convert to fraction form
    5,379.04/8,070 = 3,072.16/x
  3. Step 3: Cross multiply
    5,379.04x = 8,070 × 3,072.16
  4. Step 4: Simplify right side
    5,379.04x = 24,792,331.20
  5. Step 5: Solve for x
    x = 24,792,331.20/5,379.04
  6. Step 6: Final answer
    x = 4,609.06

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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.