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Finding the Fourth Proportional to 21,696.57, 32,532.39 and 8,541.77

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Solution

The fourth proportional to 21,696.57, 32,532.39 and 8,541.77 is: 12,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.57 : 32,532.39 = 8,541.77 : x
  2. Step 2: Convert to fraction form
    21,696.57/32,532.39 = 8,541.77/x
  3. Step 3: Cross multiply
    21,696.57x = 32,532.39 × 8,541.77
  4. Step 4: Simplify right side
    21,696.57x = 277,884,030.27
  5. Step 5: Solve for x
    x = 277,884,030.27/21,696.57
  6. Step 6: Final answer
    x = 12,807.74

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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.