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Finding the Fourth Proportional to 5,285.51, 7,923.80 and 2,649.77

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Solution

The fourth proportional to 5,285.51, 7,923.80 and 2,649.77 is: 3,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.51 : 7,923.80 = 2,649.77 : x
  2. Step 2: Convert to fraction form
    5,285.51/7,923.80 = 2,649.77/x
  3. Step 3: Cross multiply
    5,285.51x = 7,923.80 × 2,649.77
  4. Step 4: Simplify right side
    5,285.51x = 20,996,214.53
  5. Step 5: Solve for x
    x = 20,996,214.53/5,285.51
  6. Step 6: Final answer
    x = 3,972.41

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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.