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Finding the Fourth Proportional to 2,852.50, 4,279.47 and 800.50

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Solution

The fourth proportional to 2,852.50, 4,279.47 and 800.50 is: 1,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.50 : 4,279.47 = 800.50 : x
  2. Step 2: Convert to fraction form
    2,852.50/4,279.47 = 800.50/x
  3. Step 3: Cross multiply
    2,852.50x = 4,279.47 × 800.50
  4. Step 4: Simplify right side
    2,852.50x = 3,425,715.74
  5. Step 5: Solve for x
    x = 3,425,715.74/2,852.50
  6. Step 6: Final answer
    x = 1,200.95

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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.