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Finding the Fourth Proportional to 5,637, 7,779.57 and 3,279

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Solution

The fourth proportional to 5,637, 7,779.57 and 3,279 is: 4,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 7,779.57 = 3,279 : x
  2. Step 2: Convert to fraction form
    5,637/7,779.57 = 3,279/x
  3. Step 3: Cross multiply
    5,637x = 7,779.57 × 3,279
  4. Step 4: Simplify right side
    5,637x = 25,509,210.03
  5. Step 5: Solve for x
    x = 25,509,210.03/5,637
  6. Step 6: Final answer
    x = 4,525.32

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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.