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Finding the Fourth Proportional to 1,587.08, 2,379.84 and 937.64

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Solution

The fourth proportional to 1,587.08, 2,379.84 and 937.64 is: 1,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.08 : 2,379.84 = 937.64 : x
  2. Step 2: Convert to fraction form
    1,587.08/2,379.84 = 937.64/x
  3. Step 3: Cross multiply
    1,587.08x = 2,379.84 × 937.64
  4. Step 4: Simplify right side
    1,587.08x = 2,231,433.18
  5. Step 5: Solve for x
    x = 2,231,433.18/1,587.08
  6. Step 6: Final answer
    x = 1,406.00

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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.