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Finding the Fourth Proportional to 2,428.91, 3,643.38 and 785.45

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Solution

The fourth proportional to 2,428.91, 3,643.38 and 785.45 is: 1,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.91 : 3,643.38 = 785.45 : x
  2. Step 2: Convert to fraction form
    2,428.91/3,643.38 = 785.45/x
  3. Step 3: Cross multiply
    2,428.91x = 3,643.38 × 785.45
  4. Step 4: Simplify right side
    2,428.91x = 2,861,685.32
  5. Step 5: Solve for x
    x = 2,861,685.32/2,428.91
  6. Step 6: Final answer
    x = 1,178.18

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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.