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Finding the Fourth Proportional to 5,412.54, 8,120.04 and 1,715

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Solution

The fourth proportional to 5,412.54, 8,120.04 and 1,715 is: 2,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.54 : 8,120.04 = 1,715 : x
  2. Step 2: Convert to fraction form
    5,412.54/8,120.04 = 1,715/x
  3. Step 3: Cross multiply
    5,412.54x = 8,120.04 × 1,715
  4. Step 4: Simplify right side
    5,412.54x = 13,925,868.60
  5. Step 5: Solve for x
    x = 13,925,868.60/5,412.54
  6. Step 6: Final answer
    x = 2,572.89

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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.