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Finding the Fourth Proportional to 2,507, 3,459.46 and 1,387.85

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Solution

The fourth proportional to 2,507, 3,459.46 and 1,387.85 is: 1,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507 : 3,459.46 = 1,387.85 : x
  2. Step 2: Convert to fraction form
    2,507/3,459.46 = 1,387.85/x
  3. Step 3: Cross multiply
    2,507x = 3,459.46 × 1,387.85
  4. Step 4: Simplify right side
    2,507x = 4,801,211.56
  5. Step 5: Solve for x
    x = 4,801,211.56/2,507
  6. Step 6: Final answer
    x = 1,915.12

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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.