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Finding the Fourth Proportional to 11,812.49, 16,300.49 and 6,507.28

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Solution

The fourth proportional to 11,812.49, 16,300.49 and 6,507.28 is: 8,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.49 : 16,300.49 = 6,507.28 : x
  2. Step 2: Convert to fraction form
    11,812.49/16,300.49 = 6,507.28/x
  3. Step 3: Cross multiply
    11,812.49x = 16,300.49 × 6,507.28
  4. Step 4: Simplify right side
    11,812.49x = 106,071,852.57
  5. Step 5: Solve for x
    x = 106,071,852.57/11,812.49
  6. Step 6: Final answer
    x = 8,979.64

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1.5x scale

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.