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Finding the Fourth Proportional to 1,653.66, 2,265.53 and 1,591.39

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Solution

The fourth proportional to 1,653.66, 2,265.53 and 1,591.39 is: 2,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.66 : 2,265.53 = 1,591.39 : x
  2. Step 2: Convert to fraction form
    1,653.66/2,265.53 = 1,591.39/x
  3. Step 3: Cross multiply
    1,653.66x = 2,265.53 × 1,591.39
  4. Step 4: Simplify right side
    1,653.66x = 3,605,340.10
  5. Step 5: Solve for x
    x = 3,605,340.10/1,653.66
  6. Step 6: Final answer
    x = 2,180.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.