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Finding the Fourth Proportional to 2,663.89, 3,678.49 and 1,670.88

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Solution

The fourth proportional to 2,663.89, 3,678.49 and 1,670.88 is: 2,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.89 : 3,678.49 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    2,663.89/3,678.49 = 1,670.88/x
  3. Step 3: Cross multiply
    2,663.89x = 3,678.49 × 1,670.88
  4. Step 4: Simplify right side
    2,663.89x = 6,146,305.86
  5. Step 5: Solve for x
    x = 6,146,305.86/2,663.89
  6. Step 6: Final answer
    x = 2,307.27

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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.