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Finding the Fourth Proportional to 16,688.16, 25,010.88 and 6,816

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Solution

The fourth proportional to 16,688.16, 25,010.88 and 6,816 is: 10,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.16 : 25,010.88 = 6,816 : x
  2. Step 2: Convert to fraction form
    16,688.16/25,010.88 = 6,816/x
  3. Step 3: Cross multiply
    16,688.16x = 25,010.88 × 6,816
  4. Step 4: Simplify right side
    16,688.16x = 170,474,158.08
  5. Step 5: Solve for x
    x = 170,474,158.08/16,688.16
  6. Step 6: Final answer
    x = 10,215.28

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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.