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Finding the Fourth Proportional to 1,868.68, 2,567.81 and 1,557.64

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Solution

The fourth proportional to 1,868.68, 2,567.81 and 1,557.64 is: 2,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.68 : 2,567.81 = 1,557.64 : x
  2. Step 2: Convert to fraction form
    1,868.68/2,567.81 = 1,557.64/x
  3. Step 3: Cross multiply
    1,868.68x = 2,567.81 × 1,557.64
  4. Step 4: Simplify right side
    1,868.68x = 3,999,723.57
  5. Step 5: Solve for x
    x = 3,999,723.57/1,868.68
  6. Step 6: Final answer
    x = 2,140.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.