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Finding the Fourth Proportional to 21,471.64, 32,208.18 and 6,479.44

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Solution

The fourth proportional to 21,471.64, 32,208.18 and 6,479.44 is: 9,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.64 : 32,208.18 = 6,479.44 : x
  2. Step 2: Convert to fraction form
    21,471.64/32,208.18 = 6,479.44/x
  3. Step 3: Cross multiply
    21,471.64x = 32,208.18 × 6,479.44
  4. Step 4: Simplify right side
    21,471.64x = 208,690,969.82
  5. Step 5: Solve for x
    x = 208,690,969.82/21,471.64
  6. Step 6: Final answer
    x = 9,719.38

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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.