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Finding the Fourth Proportional to 1,874.84, 2,585.34 and 1,128.65

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Solution

The fourth proportional to 1,874.84, 2,585.34 and 1,128.65 is: 1,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.84 : 2,585.34 = 1,128.65 : x
  2. Step 2: Convert to fraction form
    1,874.84/2,585.34 = 1,128.65/x
  3. Step 3: Cross multiply
    1,874.84x = 2,585.34 × 1,128.65
  4. Step 4: Simplify right side
    1,874.84x = 2,917,931.06
  5. Step 5: Solve for x
    x = 2,917,931.06/1,874.84
  6. Step 6: Final answer
    x = 1,556.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.