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Finding the Fourth Proportional to 1,813.78, 2,509.14 and 1,748.17

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Solution

The fourth proportional to 1,813.78, 2,509.14 and 1,748.17 is: 2,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.78 : 2,509.14 = 1,748.17 : x
  2. Step 2: Convert to fraction form
    1,813.78/2,509.14 = 1,748.17/x
  3. Step 3: Cross multiply
    1,813.78x = 2,509.14 × 1,748.17
  4. Step 4: Simplify right side
    1,813.78x = 4,386,403.27
  5. Step 5: Solve for x
    x = 4,386,403.27/1,813.78
  6. Step 6: Final answer
    x = 2,418.38

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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.