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Finding the Fourth Proportional to 2,859.84, 4,284.90 and 2,281.50

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Solution

The fourth proportional to 2,859.84, 4,284.90 and 2,281.50 is: 3,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.84 : 4,284.90 = 2,281.50 : x
  2. Step 2: Convert to fraction form
    2,859.84/4,284.90 = 2,281.50/x
  3. Step 3: Cross multiply
    2,859.84x = 4,284.90 × 2,281.50
  4. Step 4: Simplify right side
    2,859.84x = 9,775,999.35
  5. Step 5: Solve for x
    x = 9,775,999.35/2,859.84
  6. Step 6: Final answer
    x = 3,418.37

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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.