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Finding the Fourth Proportional to 10,756, 14,827.92 and 7,619.36

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Solution

The fourth proportional to 10,756, 14,827.92 and 7,619.36 is: 10,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756 : 14,827.92 = 7,619.36 : x
  2. Step 2: Convert to fraction form
    10,756/14,827.92 = 7,619.36/x
  3. Step 3: Cross multiply
    10,756x = 14,827.92 × 7,619.36
  4. Step 4: Simplify right side
    10,756x = 112,979,260.53
  5. Step 5: Solve for x
    x = 112,979,260.53/10,756
  6. Step 6: Final answer
    x = 10,503.84

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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.