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Finding the Fourth Proportional to 10,357.72, 14,293.80 and 5,642

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Solution

The fourth proportional to 10,357.72, 14,293.80 and 5,642 is: 7,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.72 : 14,293.80 = 5,642 : x
  2. Step 2: Convert to fraction form
    10,357.72/14,293.80 = 5,642/x
  3. Step 3: Cross multiply
    10,357.72x = 14,293.80 × 5,642
  4. Step 4: Simplify right side
    10,357.72x = 80,645,619.60
  5. Step 5: Solve for x
    x = 80,645,619.60/10,357.72
  6. Step 6: Final answer
    x = 7,786.04

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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.