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Finding the Fourth Proportional to 1,813.52, 2,507.88 and 1,780.68

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Solution

The fourth proportional to 1,813.52, 2,507.88 and 1,780.68 is: 2,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.52 : 2,507.88 = 1,780.68 : x
  2. Step 2: Convert to fraction form
    1,813.52/2,507.88 = 1,780.68/x
  3. Step 3: Cross multiply
    1,813.52x = 2,507.88 × 1,780.68
  4. Step 4: Simplify right side
    1,813.52x = 4,465,731.76
  5. Step 5: Solve for x
    x = 4,465,731.76/1,813.52
  6. Step 6: Final answer
    x = 2,462.47

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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.