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Finding the Fourth Proportional to 1,666.97, 2,300.37 and 1,077.85

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Solution

The fourth proportional to 1,666.97, 2,300.37 and 1,077.85 is: 1,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.97 : 2,300.37 = 1,077.85 : x
  2. Step 2: Convert to fraction form
    1,666.97/2,300.37 = 1,077.85/x
  3. Step 3: Cross multiply
    1,666.97x = 2,300.37 × 1,077.85
  4. Step 4: Simplify right side
    1,666.97x = 2,479,448.05
  5. Step 5: Solve for x
    x = 2,479,448.05/1,666.97
  6. Step 6: Final answer
    x = 1,487.40

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1.5x scale

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.