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Finding the Fourth Proportional to 10,672, 16,009.28 and 3,275.49

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Solution

The fourth proportional to 10,672, 16,009.28 and 3,275.49 is: 4,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672 : 16,009.28 = 3,275.49 : x
  2. Step 2: Convert to fraction form
    10,672/16,009.28 = 3,275.49/x
  3. Step 3: Cross multiply
    10,672x = 16,009.28 × 3,275.49
  4. Step 4: Simplify right side
    10,672x = 52,438,228.36
  5. Step 5: Solve for x
    x = 52,438,228.36/10,672
  6. Step 6: Final answer
    x = 4,913.63

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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.