Home / 2,507.18-3,761.42-947.19

Finding the Fourth Proportional to 2,507.18, 3,761.42 and 947.19

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Solution

The fourth proportional to 2,507.18, 3,761.42 and 947.19 is: 1,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.18 : 3,761.42 = 947.19 : x
  2. Step 2: Convert to fraction form
    2,507.18/3,761.42 = 947.19/x
  3. Step 3: Cross multiply
    2,507.18x = 3,761.42 × 947.19
  4. Step 4: Simplify right side
    2,507.18x = 3,562,774.67
  5. Step 5: Solve for x
    x = 3,562,774.67/2,507.18
  6. Step 6: Final answer
    x = 1,421.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.