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Finding the Fourth Proportional to 7,858.80, 10,835.64 and 5,759.28

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Solution

The fourth proportional to 7,858.80, 10,835.64 and 5,759.28 is: 7,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.80 : 10,835.64 = 5,759.28 : x
  2. Step 2: Convert to fraction form
    7,858.80/10,835.64 = 5,759.28/x
  3. Step 3: Cross multiply
    7,858.80x = 10,835.64 × 5,759.28
  4. Step 4: Simplify right side
    7,858.80x = 62,405,484.74
  5. Step 5: Solve for x
    x = 62,405,484.74/7,858.80
  6. Step 6: Final answer
    x = 7,940.84

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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.