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Finding the Fourth Proportional to 20,388, 30,586.40 and 6,347.74

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Solution

The fourth proportional to 20,388, 30,586.40 and 6,347.74 is: 9,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388 : 30,586.40 = 6,347.74 : x
  2. Step 2: Convert to fraction form
    20,388/30,586.40 = 6,347.74/x
  3. Step 3: Cross multiply
    20,388x = 30,586.40 × 6,347.74
  4. Step 4: Simplify right side
    20,388x = 194,154,514.74
  5. Step 5: Solve for x
    x = 194,154,514.74/20,388
  6. Step 6: Final answer
    x = 9,522.98

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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.