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Finding the Fourth Proportional to 2,867.66, 4,302.94 and 1,307.49

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Solution

The fourth proportional to 2,867.66, 4,302.94 and 1,307.49 is: 1,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.66 : 4,302.94 = 1,307.49 : x
  2. Step 2: Convert to fraction form
    2,867.66/4,302.94 = 1,307.49/x
  3. Step 3: Cross multiply
    2,867.66x = 4,302.94 × 1,307.49
  4. Step 4: Simplify right side
    2,867.66x = 5,626,051.02
  5. Step 5: Solve for x
    x = 5,626,051.02/2,867.66
  6. Step 6: Final answer
    x = 1,961.90

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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.