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Finding the Fourth Proportional to 2,666.49, 3,678.13 and 1,720.80

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Solution

The fourth proportional to 2,666.49, 3,678.13 and 1,720.80 is: 2,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.49 : 3,678.13 = 1,720.80 : x
  2. Step 2: Convert to fraction form
    2,666.49/3,678.13 = 1,720.80/x
  3. Step 3: Cross multiply
    2,666.49x = 3,678.13 × 1,720.80
  4. Step 4: Simplify right side
    2,666.49x = 6,329,326.10
  5. Step 5: Solve for x
    x = 6,329,326.10/2,666.49
  6. Step 6: Final answer
    x = 2,373.65

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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.