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Finding the Fourth Proportional to 20,572.07, 30,858 and 4,989.70

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Solution

The fourth proportional to 20,572.07, 30,858 and 4,989.70 is: 7,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.07 : 30,858 = 4,989.70 : x
  2. Step 2: Convert to fraction form
    20,572.07/30,858 = 4,989.70/x
  3. Step 3: Cross multiply
    20,572.07x = 30,858 × 4,989.70
  4. Step 4: Simplify right side
    20,572.07x = 153,972,008.31
  5. Step 5: Solve for x
    x = 153,972,008.31/20,572.07
  6. Step 6: Final answer
    x = 7,484.52

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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.