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Finding the Fourth Proportional to 1,284.70, 1,917.75 and 1,129.00

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Solution

The fourth proportional to 1,284.70, 1,917.75 and 1,129.00 is: 1,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.70 : 1,917.75 = 1,129.00 : x
  2. Step 2: Convert to fraction form
    1,284.70/1,917.75 = 1,129.00/x
  3. Step 3: Cross multiply
    1,284.70x = 1,917.75 × 1,129.00
  4. Step 4: Simplify right side
    1,284.70x = 2,165,124.52
  5. Step 5: Solve for x
    x = 2,165,124.52/1,284.70
  6. Step 6: Final answer
    x = 1,685.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.