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Finding the Fourth Proportional to 1,429, 2,131.70 and 1,210.99

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Solution

The fourth proportional to 1,429, 2,131.70 and 1,210.99 is: 1,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429 : 2,131.70 = 1,210.99 : x
  2. Step 2: Convert to fraction form
    1,429/2,131.70 = 1,210.99/x
  3. Step 3: Cross multiply
    1,429x = 2,131.70 × 1,210.99
  4. Step 4: Simplify right side
    1,429x = 2,581,467.38
  5. Step 5: Solve for x
    x = 2,581,467.38/1,429
  6. Step 6: Final answer
    x = 1,806.49

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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.