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Finding the Fourth Proportional to 11,453.35, 15,807.93 and 7,829.08

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Solution

The fourth proportional to 11,453.35, 15,807.93 and 7,829.08 is: 10,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.35 : 15,807.93 = 7,829.08 : x
  2. Step 2: Convert to fraction form
    11,453.35/15,807.93 = 7,829.08/x
  3. Step 3: Cross multiply
    11,453.35x = 15,807.93 × 7,829.08
  4. Step 4: Simplify right side
    11,453.35x = 123,761,528.84
  5. Step 5: Solve for x
    x = 123,761,528.84/11,453.35
  6. Step 6: Final answer
    x = 10,805.71

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1.5x scale

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.