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Finding the Fourth Proportional to 5,642.33, 7,788.50 and 3,404.30

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Solution

The fourth proportional to 5,642.33, 7,788.50 and 3,404.30 is: 4,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.33 : 7,788.50 = 3,404.30 : x
  2. Step 2: Convert to fraction form
    5,642.33/7,788.50 = 3,404.30/x
  3. Step 3: Cross multiply
    5,642.33x = 7,788.50 × 3,404.30
  4. Step 4: Simplify right side
    5,642.33x = 26,514,399.06
  5. Step 5: Solve for x
    x = 26,514,399.06/5,642.33
  6. Step 6: Final answer
    x = 4,699.19

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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.