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Finding the Fourth Proportional to 1,679.94, 2,506.55 and 1,666.98

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Solution

The fourth proportional to 1,679.94, 2,506.55 and 1,666.98 is: 2,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.94 : 2,506.55 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    1,679.94/2,506.55 = 1,666.98/x
  3. Step 3: Cross multiply
    1,679.94x = 2,506.55 × 1,666.98
  4. Step 4: Simplify right side
    1,679.94x = 4,178,360.38
  5. Step 5: Solve for x
    x = 4,178,360.38/1,679.94
  6. Step 6: Final answer
    x = 2,487.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.