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Finding the Fourth Proportional to 21,665.36, 32,502.90 and 7,814.36

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Solution

The fourth proportional to 21,665.36, 32,502.90 and 7,814.36 is: 11,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.36 : 32,502.90 = 7,814.36 : x
  2. Step 2: Convert to fraction form
    21,665.36/32,502.90 = 7,814.36/x
  3. Step 3: Cross multiply
    21,665.36x = 32,502.90 × 7,814.36
  4. Step 4: Simplify right side
    21,665.36x = 253,989,361.64
  5. Step 5: Solve for x
    x = 253,989,361.64/21,665.36
  6. Step 6: Final answer
    x = 11,723.29

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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.