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Finding the Fourth Proportional to 1,921.04, 2,879.80 and 688.16

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Solution

The fourth proportional to 1,921.04, 2,879.80 and 688.16 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.04 : 2,879.80 = 688.16 : x
  2. Step 2: Convert to fraction form
    1,921.04/2,879.80 = 688.16/x
  3. Step 3: Cross multiply
    1,921.04x = 2,879.80 × 688.16
  4. Step 4: Simplify right side
    1,921.04x = 1,981,763.17
  5. Step 5: Solve for x
    x = 1,981,763.17/1,921.04
  6. Step 6: Final answer
    x = 1,031.61

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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.