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Finding the Fourth Proportional to 1,429.02, 2,143.53 and 781.02

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Solution

The fourth proportional to 1,429.02, 2,143.53 and 781.02 is: 1,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.02 : 2,143.53 = 781.02 : x
  2. Step 2: Convert to fraction form
    1,429.02/2,143.53 = 781.02/x
  3. Step 3: Cross multiply
    1,429.02x = 2,143.53 × 781.02
  4. Step 4: Simplify right side
    1,429.02x = 1,674,139.80
  5. Step 5: Solve for x
    x = 1,674,139.80/1,429.02
  6. Step 6: Final answer
    x = 1,171.53

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1.5x scale

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.