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Finding the Fourth Proportional to 5,154.49, 7,726.74 and 1,866.97

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Solution

The fourth proportional to 5,154.49, 7,726.74 and 1,866.97 is: 2,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.49 : 7,726.74 = 1,866.97 : x
  2. Step 2: Convert to fraction form
    5,154.49/7,726.74 = 1,866.97/x
  3. Step 3: Cross multiply
    5,154.49x = 7,726.74 × 1,866.97
  4. Step 4: Simplify right side
    5,154.49x = 14,425,591.78
  5. Step 5: Solve for x
    x = 14,425,591.78/5,154.49
  6. Step 6: Final answer
    x = 2,798.65

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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.