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Finding the Fourth Proportional to 15,866.16, 21,895.08 and 8,696.04

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Solution

The fourth proportional to 15,866.16, 21,895.08 and 8,696.04 is: 12,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.16 : 21,895.08 = 8,696.04 : x
  2. Step 2: Convert to fraction form
    15,866.16/21,895.08 = 8,696.04/x
  3. Step 3: Cross multiply
    15,866.16x = 21,895.08 × 8,696.04
  4. Step 4: Simplify right side
    15,866.16x = 190,400,491.48
  5. Step 5: Solve for x
    x = 190,400,491.48/15,866.16
  6. Step 6: Final answer
    x = 12,000.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.