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Finding the Fourth Proportional to 20,416, 30,624 and 6,565

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Solution

The fourth proportional to 20,416, 30,624 and 6,565 is: 9,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 30,624 = 6,565 : x
  2. Step 2: Convert to fraction form
    20,416/30,624 = 6,565/x
  3. Step 3: Cross multiply
    20,416x = 30,624 × 6,565
  4. Step 4: Simplify right side
    20,416x = 201,046,560
  5. Step 5: Solve for x
    x = 201,046,560/20,416
  6. Step 6: Final answer
    x = 9,847.50

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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.