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Finding the Fourth Proportional to 27,129.23, 40,706.00 and 21,564.53

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Solution

The fourth proportional to 27,129.23, 40,706.00 and 21,564.53 is: 32,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.23 : 40,706.00 = 21,564.53 : x
  2. Step 2: Convert to fraction form
    27,129.23/40,706.00 = 21,564.53/x
  3. Step 3: Cross multiply
    27,129.23x = 40,706.00 × 21,564.53
  4. Step 4: Simplify right side
    27,129.23x = 877,805,650.36
  5. Step 5: Solve for x
    x = 877,805,650.36/27,129.23
  6. Step 6: Final answer
    x = 32,356.45

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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.