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Finding the Fourth Proportional to 10,456, 14,428.92 and 5,675.74

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Solution

The fourth proportional to 10,456, 14,428.92 and 5,675.74 is: 7,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456 : 14,428.92 = 5,675.74 : x
  2. Step 2: Convert to fraction form
    10,456/14,428.92 = 5,675.74/x
  3. Step 3: Cross multiply
    10,456x = 14,428.92 × 5,675.74
  4. Step 4: Simplify right side
    10,456x = 81,894,798.40
  5. Step 5: Solve for x
    x = 81,894,798.40/10,456
  6. Step 6: Final answer
    x = 7,832.33

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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.