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Finding the Fourth Proportional to 4,945.47, 7,417.49 and 1,866.75

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Solution

The fourth proportional to 4,945.47, 7,417.49 and 1,866.75 is: 2,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.47 : 7,417.49 = 1,866.75 : x
  2. Step 2: Convert to fraction form
    4,945.47/7,417.49 = 1,866.75/x
  3. Step 3: Cross multiply
    4,945.47x = 7,417.49 × 1,866.75
  4. Step 4: Simplify right side
    4,945.47x = 13,846,590.12
  5. Step 5: Solve for x
    x = 13,846,590.12/4,945.47
  6. Step 6: Final answer
    x = 2,799.85

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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.