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Finding the Fourth Proportional to 21,396.76, 32,096.76 and 5,814.16

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Solution

The fourth proportional to 21,396.76, 32,096.76 and 5,814.16 is: 8,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,396.76 : 32,096.76 = 5,814.16 : x
  2. Step 2: Convert to fraction form
    21,396.76/32,096.76 = 5,814.16/x
  3. Step 3: Cross multiply
    21,396.76x = 32,096.76 × 5,814.16
  4. Step 4: Simplify right side
    21,396.76x = 186,615,698.12
  5. Step 5: Solve for x
    x = 186,615,698.12/21,396.76
  6. Step 6: Final answer
    x = 8,721.68

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1.5x scale

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.