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Finding the Fourth Proportional to 10,383, 15,579.36 and 4,541.28

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Solution

The fourth proportional to 10,383, 15,579.36 and 4,541.28 is: 6,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 15,579.36 = 4,541.28 : x
  2. Step 2: Convert to fraction form
    10,383/15,579.36 = 4,541.28/x
  3. Step 3: Cross multiply
    10,383x = 15,579.36 × 4,541.28
  4. Step 4: Simplify right side
    10,383x = 70,750,235.98
  5. Step 5: Solve for x
    x = 70,750,235.98/10,383
  6. Step 6: Final answer
    x = 6,814.05

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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.