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Finding the Fourth Proportional to 21,686.81, 32,535.99 and 9,207.54

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Solution

The fourth proportional to 21,686.81, 32,535.99 and 9,207.54 is: 13,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.81 : 32,535.99 = 9,207.54 : x
  2. Step 2: Convert to fraction form
    21,686.81/32,535.99 = 9,207.54/x
  3. Step 3: Cross multiply
    21,686.81x = 32,535.99 × 9,207.54
  4. Step 4: Simplify right side
    21,686.81x = 299,576,429.36
  5. Step 5: Solve for x
    x = 299,576,429.36/21,686.81
  6. Step 6: Final answer
    x = 13,813.77

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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.