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Finding the Fourth Proportional to 5,047.58, 6,965.82 and 2,779.01

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Solution

The fourth proportional to 5,047.58, 6,965.82 and 2,779.01 is: 3,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.58 : 6,965.82 = 2,779.01 : x
  2. Step 2: Convert to fraction form
    5,047.58/6,965.82 = 2,779.01/x
  3. Step 3: Cross multiply
    5,047.58x = 6,965.82 × 2,779.01
  4. Step 4: Simplify right side
    5,047.58x = 19,358,083.44
  5. Step 5: Solve for x
    x = 19,358,083.44/5,047.58
  6. Step 6: Final answer
    x = 3,835.12

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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.