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Finding the Fourth Proportional to 5,321.03, 7,980.54 and 1,572

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Solution

The fourth proportional to 5,321.03, 7,980.54 and 1,572 is: 2,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.03 : 7,980.54 = 1,572 : x
  2. Step 2: Convert to fraction form
    5,321.03/7,980.54 = 1,572/x
  3. Step 3: Cross multiply
    5,321.03x = 7,980.54 × 1,572
  4. Step 4: Simplify right side
    5,321.03x = 12,545,408.88
  5. Step 5: Solve for x
    x = 12,545,408.88/5,321.03
  6. Step 6: Final answer
    x = 2,357.71

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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.