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Finding the Fourth Proportional to 10,392, 14,340.80 and 5,676.16

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Solution

The fourth proportional to 10,392, 14,340.80 and 5,676.16 is: 7,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392 : 14,340.80 = 5,676.16 : x
  2. Step 2: Convert to fraction form
    10,392/14,340.80 = 5,676.16/x
  3. Step 3: Cross multiply
    10,392x = 14,340.80 × 5,676.16
  4. Step 4: Simplify right side
    10,392x = 81,400,675.33
  5. Step 5: Solve for x
    x = 81,400,675.33/10,392
  6. Step 6: Final answer
    x = 7,833.01

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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.