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Finding the Fourth Proportional to 7,833.78, 10,814.78 and 5,329.26

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Solution

The fourth proportional to 7,833.78, 10,814.78 and 5,329.26 is: 7,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.78 : 10,814.78 = 5,329.26 : x
  2. Step 2: Convert to fraction form
    7,833.78/10,814.78 = 5,329.26/x
  3. Step 3: Cross multiply
    7,833.78x = 10,814.78 × 5,329.26
  4. Step 4: Simplify right side
    7,833.78x = 57,634,774.46
  5. Step 5: Solve for x
    x = 57,634,774.46/7,833.78
  6. Step 6: Final answer
    x = 7,357.21

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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.