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Finding the Fourth Proportional to 5,218.51, 7,822.89 and 1,930.72

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Solution

The fourth proportional to 5,218.51, 7,822.89 and 1,930.72 is: 2,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.51 : 7,822.89 = 1,930.72 : x
  2. Step 2: Convert to fraction form
    5,218.51/7,822.89 = 1,930.72/x
  3. Step 3: Cross multiply
    5,218.51x = 7,822.89 × 1,930.72
  4. Step 4: Simplify right side
    5,218.51x = 15,103,810.18
  5. Step 5: Solve for x
    x = 15,103,810.18/5,218.51
  6. Step 6: Final answer
    x = 2,894.28

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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.