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Finding the Fourth Proportional to 15,916.30, 21,964.84 and 8,746.28

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Solution

The fourth proportional to 15,916.30, 21,964.84 and 8,746.28 is: 12,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.30 : 21,964.84 = 8,746.28 : x
  2. Step 2: Convert to fraction form
    15,916.30/21,964.84 = 8,746.28/x
  3. Step 3: Cross multiply
    15,916.30x = 21,964.84 × 8,746.28
  4. Step 4: Simplify right side
    15,916.30x = 192,110,591.47
  5. Step 5: Solve for x
    x = 192,110,591.47/15,916.30
  6. Step 6: Final answer
    x = 12,070.06

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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.