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Finding the Fourth Proportional to 2,663.85, 3,678.44 and 1,670.84

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Solution

The fourth proportional to 2,663.85, 3,678.44 and 1,670.84 is: 2,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.85 : 3,678.44 = 1,670.84 : x
  2. Step 2: Convert to fraction form
    2,663.85/3,678.44 = 1,670.84/x
  3. Step 3: Cross multiply
    2,663.85x = 3,678.44 × 1,670.84
  4. Step 4: Simplify right side
    2,663.85x = 6,146,089.71
  5. Step 5: Solve for x
    x = 6,146,089.71/2,663.85
  6. Step 6: Final answer
    x = 2,307.22

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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.