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Finding the Fourth Proportional to 5,639.76, 7,779.24 and 3,540.24

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Solution

The fourth proportional to 5,639.76, 7,779.24 and 3,540.24 is: 4,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.76 : 7,779.24 = 3,540.24 : x
  2. Step 2: Convert to fraction form
    5,639.76/7,779.24 = 3,540.24/x
  3. Step 3: Cross multiply
    5,639.76x = 7,779.24 × 3,540.24
  4. Step 4: Simplify right side
    5,639.76x = 27,540,376.62
  5. Step 5: Solve for x
    x = 27,540,376.62/5,639.76
  6. Step 6: Final answer
    x = 4,883.25

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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.