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Finding the Fourth Proportional to 1,771, 2,637.79 and 1,678.48

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Solution

The fourth proportional to 1,771, 2,637.79 and 1,678.48 is: 2,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771 : 2,637.79 = 1,678.48 : x
  2. Step 2: Convert to fraction form
    1,771/2,637.79 = 1,678.48/x
  3. Step 3: Cross multiply
    1,771x = 2,637.79 × 1,678.48
  4. Step 4: Simplify right side
    1,771x = 4,427,477.76
  5. Step 5: Solve for x
    x = 4,427,477.76/1,771
  6. Step 6: Final answer
    x = 2,499.99

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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.