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Finding the Fourth Proportional to 1,860.50, 2,568.12 and 1,302.14

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Solution

The fourth proportional to 1,860.50, 2,568.12 and 1,302.14 is: 1,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.50 : 2,568.12 = 1,302.14 : x
  2. Step 2: Convert to fraction form
    1,860.50/2,568.12 = 1,302.14/x
  3. Step 3: Cross multiply
    1,860.50x = 2,568.12 × 1,302.14
  4. Step 4: Simplify right side
    1,860.50x = 3,344,038.94
  5. Step 5: Solve for x
    x = 3,344,038.94/1,860.50
  6. Step 6: Final answer
    x = 1,797.39

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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.