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Finding the Fourth Proportional to 4,805.76, 7,208.01 and 1,886.13

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Solution

The fourth proportional to 4,805.76, 7,208.01 and 1,886.13 is: 2,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.76 : 7,208.01 = 1,886.13 : x
  2. Step 2: Convert to fraction form
    4,805.76/7,208.01 = 1,886.13/x
  3. Step 3: Cross multiply
    4,805.76x = 7,208.01 × 1,886.13
  4. Step 4: Simplify right side
    4,805.76x = 13,595,243.90
  5. Step 5: Solve for x
    x = 13,595,243.90/4,805.76
  6. Step 6: Final answer
    x = 2,828.95

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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.