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Finding the Fourth Proportional to 1,753.51, 2,419.81 and 956.84

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Solution

The fourth proportional to 1,753.51, 2,419.81 and 956.84 is: 1,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.51 : 2,419.81 = 956.84 : x
  2. Step 2: Convert to fraction form
    1,753.51/2,419.81 = 956.84/x
  3. Step 3: Cross multiply
    1,753.51x = 2,419.81 × 956.84
  4. Step 4: Simplify right side
    1,753.51x = 2,315,371.00
  5. Step 5: Solve for x
    x = 2,315,371.00/1,753.51
  6. Step 6: Final answer
    x = 1,320.42

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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.