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Finding the Fourth Proportional to 1,874.50, 2,588 and 1,677.66

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Solution

The fourth proportional to 1,874.50, 2,588 and 1,677.66 is: 2,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.50 : 2,588 = 1,677.66 : x
  2. Step 2: Convert to fraction form
    1,874.50/2,588 = 1,677.66/x
  3. Step 3: Cross multiply
    1,874.50x = 2,588 × 1,677.66
  4. Step 4: Simplify right side
    1,874.50x = 4,341,784.08
  5. Step 5: Solve for x
    x = 4,341,784.08/1,874.50
  6. Step 6: Final answer
    x = 2,316.24

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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.