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Finding the Fourth Proportional to 3,087.54, 4,653 and 2,779.74

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Solution

The fourth proportional to 3,087.54, 4,653 and 2,779.74 is: 4,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.54 : 4,653 = 2,779.74 : x
  2. Step 2: Convert to fraction form
    3,087.54/4,653 = 2,779.74/x
  3. Step 3: Cross multiply
    3,087.54x = 4,653 × 2,779.74
  4. Step 4: Simplify right side
    3,087.54x = 12,934,130.22
  5. Step 5: Solve for x
    x = 12,934,130.22/3,087.54
  6. Step 6: Final answer
    x = 4,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.