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Finding the Fourth Proportional to 21,404.64, 32,119.64 and 9,717.68

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Solution

The fourth proportional to 21,404.64, 32,119.64 and 9,717.68 is: 14,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.64 : 32,119.64 = 9,717.68 : x
  2. Step 2: Convert to fraction form
    21,404.64/32,119.64 = 9,717.68/x
  3. Step 3: Cross multiply
    21,404.64x = 32,119.64 × 9,717.68
  4. Step 4: Simplify right side
    21,404.64x = 312,128,383.24
  5. Step 5: Solve for x
    x = 312,128,383.24/21,404.64
  6. Step 6: Final answer
    x = 14,582.28

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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.