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Finding the Fourth Proportional to 1,661.84, 2,488.70 and 1,618.10

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Solution

The fourth proportional to 1,661.84, 2,488.70 and 1,618.10 is: 2,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.84 : 2,488.70 = 1,618.10 : x
  2. Step 2: Convert to fraction form
    1,661.84/2,488.70 = 1,618.10/x
  3. Step 3: Cross multiply
    1,661.84x = 2,488.70 × 1,618.10
  4. Step 4: Simplify right side
    1,661.84x = 4,026,944.94
  5. Step 5: Solve for x
    x = 4,026,944.94/1,661.84
  6. Step 6: Final answer
    x = 2,423.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.