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Finding the Fourth Proportional to 21,502.98, 32,256.54 and 8,356.38

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Solution

The fourth proportional to 21,502.98, 32,256.54 and 8,356.38 is: 12,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.98 : 32,256.54 = 8,356.38 : x
  2. Step 2: Convert to fraction form
    21,502.98/32,256.54 = 8,356.38/x
  3. Step 3: Cross multiply
    21,502.98x = 32,256.54 × 8,356.38
  4. Step 4: Simplify right side
    21,502.98x = 269,547,905.73
  5. Step 5: Solve for x
    x = 269,547,905.73/21,502.98
  6. Step 6: Final answer
    x = 12,535.37

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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.