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Finding the Fourth Proportional to 1,276.95, 1,911.99 and 886.13

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Solution

The fourth proportional to 1,276.95, 1,911.99 and 886.13 is: 1,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.95 : 1,911.99 = 886.13 : x
  2. Step 2: Convert to fraction form
    1,276.95/1,911.99 = 886.13/x
  3. Step 3: Cross multiply
    1,276.95x = 1,911.99 × 886.13
  4. Step 4: Simplify right side
    1,276.95x = 1,694,267.65
  5. Step 5: Solve for x
    x = 1,694,267.65/1,276.95
  6. Step 6: Final answer
    x = 1,326.80

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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.