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Finding the Fourth Proportional to 2,602.60, 3,591.40 and 1,423.65

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Solution

The fourth proportional to 2,602.60, 3,591.40 and 1,423.65 is: 1,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.60 : 3,591.40 = 1,423.65 : x
  2. Step 2: Convert to fraction form
    2,602.60/3,591.40 = 1,423.65/x
  3. Step 3: Cross multiply
    2,602.60x = 3,591.40 × 1,423.65
  4. Step 4: Simplify right side
    2,602.60x = 5,112,896.61
  5. Step 5: Solve for x
    x = 5,112,896.61/2,602.60
  6. Step 6: Final answer
    x = 1,964.53

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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.