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Finding the Fourth Proportional to 1,333.63, 1,827.09 and 1,283.76

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Solution

The fourth proportional to 1,333.63, 1,827.09 and 1,283.76 is: 1,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.63 : 1,827.09 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    1,333.63/1,827.09 = 1,283.76/x
  3. Step 3: Cross multiply
    1,333.63x = 1,827.09 × 1,283.76
  4. Step 4: Simplify right side
    1,333.63x = 2,345,545.06
  5. Step 5: Solve for x
    x = 2,345,545.06/1,333.63
  6. Step 6: Final answer
    x = 1,758.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.