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Finding the Fourth Proportional to 2,507, 3,759.88 and 1,045.34

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Solution

The fourth proportional to 2,507, 3,759.88 and 1,045.34 is: 1,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507 : 3,759.88 = 1,045.34 : x
  2. Step 2: Convert to fraction form
    2,507/3,759.88 = 1,045.34/x
  3. Step 3: Cross multiply
    2,507x = 3,759.88 × 1,045.34
  4. Step 4: Simplify right side
    2,507x = 3,930,352.96
  5. Step 5: Solve for x
    x = 3,930,352.96/2,507
  6. Step 6: Final answer
    x = 1,567.75

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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.