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Finding the Fourth Proportional to 1,679.99, 2,317.10 and 1,491.14

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Solution

The fourth proportional to 1,679.99, 2,317.10 and 1,491.14 is: 2,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.99 : 2,317.10 = 1,491.14 : x
  2. Step 2: Convert to fraction form
    1,679.99/2,317.10 = 1,491.14/x
  3. Step 3: Cross multiply
    1,679.99x = 2,317.10 × 1,491.14
  4. Step 4: Simplify right side
    1,679.99x = 3,455,101.45
  5. Step 5: Solve for x
    x = 3,455,101.45/1,679.99
  6. Step 6: Final answer
    x = 2,056.63

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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.